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  Subjects -> MATHEMATICS (Total: 864 journals)
    - APPLIED MATHEMATICS (68 journals)
    - GEOMETRY AND TOPOLOGY (19 journals)
    - MATHEMATICS (643 journals)
    - MATHEMATICS (GENERAL) (40 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (75 journals)

MATHEMATICS (643 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 6)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 20)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 9)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 4)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 9)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 15)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 3)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 2)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 9)
Algorithms Research     Open Access  
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Numerical Analysis & Computational Mathematics     Hybrid Journal   (Followers: 5)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 17)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 1)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 3)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 5)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 1)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 12)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 4)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)

        1 2 3 4 | Last

Journal Cover Bulletin des Sciences Mathamatiques
  [SJR: 1.942]   [H-I: 24]   [4 followers]  Follow
    
   Full-text available via subscription Subscription journal  (Not entitled to full-text)
   ISSN (Print) 0007-4497
   Published by Elsevier Homepage  [3041 journals]
  • A priori estimates for relativistic liquid bodies
    • Authors: Todd A. Oliynyk
      Abstract: Publication date: Available online 4 March 2017
      Source:Bulletin des Sciences Mathématiques
      Author(s): Todd A. Oliynyk
      We demonstrate that a sufficiently smooth solution of the relativistic Euler equations that represents a dynamical compact liquid body, when expressed in Lagrangian coordinates, determines a solution to a system of non-linear wave equations with acoustic boundary conditions. Using this wave formulation, we prove that these solutions satisfy energy estimates without loss of derivatives. Importantly, our wave formulation does not require the liquid to be irrotational, and the energy estimates do not rely on divergence and curl type estimates employed in previous works.

      PubDate: 2017-03-08T15:26:23Z
      DOI: 10.1016/j.bulsci.2017.02.001
       
  • Sharp asymptotics for the minimal mass blow up solution of the critical
           gKdV equation
    • Authors: Vianney Combet; Yvan Martel
      Abstract: Publication date: Available online 20 January 2017
      Source:Bulletin des Sciences Mathématiques
      Author(s): Vianney Combet, Yvan Martel
      Let S be a minimal mass blow up solution of the critical generalized KdV equation as constructed in [25]. We prove both time and space sharp asymptotics for S close to the blow up time. Let Q be the unique ground state of (gKdV), satisfying Q ″ + Q 5 = Q . First, we show that there exist universal smooth profiles Q k ∈ S ( R ) (with Q 0 = Q ) and a constant c 0 ∈ R such that, fixing the blow up time at t = 0 and appropriate scaling and translation parameters, S satisfies, for any m ⩾ 0 , ∂ x m S ( t ) − ∑ k = 0 [ m / 2 ] 1 t 1 2 + m − 2 k Q k ( m − k ) ( ⋅ + 1 t t + c 0 ) → 0  in  L 2  as  t ↓ 0 . Second, we prove that, for 0 < t ≪ 1 , x ⩽ − 1 t − 1 , S ( t , x ) ∼ − 1 2 ‖ Q ‖ L 1 x − 3 / 2 , and related bounds for the derivatives of S ( t ) of any order. We also prove ∫ R S ( t , x ) d x = 0 .

      PubDate: 2017-01-20T18:52:48Z
      DOI: 10.1016/j.bulsci.2017.01.001
       
  • Nonlocal problems with singular nonlinearity
    • Authors: Annamaria Canino; Luigi Montoro; Berardino Sciunzi; Marco Squassina
      Abstract: Publication date: Available online 20 January 2017
      Source:Bulletin des Sciences Mathématiques
      Author(s): Annamaria Canino, Luigi Montoro, Berardino Sciunzi, Marco Squassina
      We investigate existence and uniqueness of solutions for a class of nonlinear nonlocal problems involving the fractional p-Laplacian operator and singular nonlinearities.

      PubDate: 2017-01-20T18:52:48Z
      DOI: 10.1016/j.bulsci.2017.01.002
       
  • Compact embedding results of Sobolev spaces and existence of positive
           solutions to quasilinear equations
    • Authors: Han
      Abstract: Publication date: January 2017
      Source:Bulletin des Sciences Mathématiques, Volume 141, Issue 1
      Author(s): Qi Han
      In this paper, we study mainly the existence of multiple positive solutions for a quasilinear elliptic equation of the following form on R N , when N ≥ 2 , (0.1) − Δ N u + V ( x ) u N − 2 u = λ u r − 2 u + f ( x , u ) . Here, V ( x ) > 0 : R N → R is a suitable potential function, r ∈ ( 1 , N ) , f ( x , u ) is a continuous function of N-superlinear and subcritical exponential growth without having the Ambrosetti–Rabinowitz condition, while λ > 0 is a constant. A suitable Moser–Trudinger inequality and the compact embedding W V 1 , N ( R N ) ↪ L r ( R N ) are proved to study problem (0.1). Moreover, the compact embedding H V 1 ( R N ) ↪ L K t ( R N ) is also analyzed to investigate the existence of a positive ground state to the following nonlinear Schrödinger equation (0.2) − Δ u + V ( x ) u = K ( x ) g ( u ) with potentials vanishing at infinity in a measure-theoretic sense when N ≥ 3 .

      PubDate: 2017-01-13T16:30:20Z
       
  • A remark on compact hypersurfaces with constant mean curvature in space
           forms
    • Authors: Giovanni Catino
      Pages: 901 - 907
      Abstract: Publication date: Available online 11 April 2016
      Source:Bulletin des Sciences Mathématiques
      Author(s): Giovanni Catino
      In this note we characterize compact hypersurfaces of dimension n ≥ 2 with constant mean curvature H immersed in space forms of constant curvature and satisfying an optimal integral pinching condition: they are either totally umbilical or, when n ≥ 3 and H ≠ 0 , they are locally contained in a rotational hypersurface. In dimension two, the integral pinching condition reduces to a topological assumption and we recover the classical Hopf-Chern result.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.04.002
       
  • Hyers-Ulam stability and discrete dichotomy for difference periodic
           systems
    • Authors: Constantin Buşe; Donal O'Regan; Olivia Saierli; Afshan Tabassum
      Pages: 908 - 934
      Abstract: Publication date: Available online 29 March 2016
      Source:Bulletin des Sciences Mathématiques
      Author(s): Constantin Buşe, Donal O'Regan, Olivia Saierli, Afshan Tabassum
      Denote by Z + the set of all nonnegative integer numbers. Let A n be an m × m invertible q-periodic complex matrix, for all n ∈ Z + and some q ≥ 1 . First we prove that the discrete problem ( A n ) x n + 1 = A n x n , x n ∈ C m . is Hyers-Ulam stable if and only if the monodromy matrix T q associated to the family A = { A n } n ∈ Z + possesses a discrete dichotomy. Let ( a n ) , ( b n ) be complex valued 2-periodic sequences. Consider the non-autonomous recurrence ( a n , b n ) z n + 2 = a n z n + 1 + b n z n , n ∈ Z + , z n ∈ C and the matrix A n = ( 1 1 a n + b n − 1 a n − 1 ) , n ∈ Z + . We prove that the recurrence ( a n , b n ) is Hyers-Ulam stable if and only if the monodromy matrix T 2 : = A 1 A 0 has no eigenvalues on the unit circle.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.03.010
       
  • On the construction of holomorphic foliations without invariant
           subvarieties of positive dimension
    • Authors: S.C. Coutinho
      Pages: 935 - 952
      Abstract: Publication date: November 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 8
      Author(s): S.C. Coutinho
      We construct explicit examples of one dimensional foliations over P n , with no proper invariant subvarieties of positive dimension, that are defined over a pure transcendental extension of Q whose transcendence degree is linear in n and independent of the degree of the foliation.

      PubDate: 2016-10-10T21:28:21Z
      DOI: 10.1016/j.bulsci.2016.07.001
       
  • On a Relative Mumford-Newstead Theorem
    • Authors: Suratno Basu
      Pages: 953 - 989
      Abstract: Publication date: Available online 6 May 2016
      Source:Bulletin des Sciences Mathématiques
      Author(s): Suratno Basu
      In this paper, we prove a relative version of the classical Mumford-Newstead theorem for a family of smooth curves degenerating to a reducible curve with a simple node. We also prove a Torelli-type theorem by showing that certain moduli spaces of torsion free sheaves on a reducible curve allows us to recover the curve from the moduli space.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.04.003
       
  • On the rationality of Nagaraj–Seshadri moduli space
    • Authors: Pabitra Barik; Arijit Dey; B.N. Suhas
      Pages: 990 - 1002
      Abstract: Publication date: November 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 8
      Author(s): Pabitra Barik, Arijit Dey, B.N. Suhas
      We show that each of the irreducible components of moduli of rank 2 torsion-free sheaves with odd Euler characteristic over a reducible nodal curve is rational.

      PubDate: 2016-10-16T22:36:06Z
      DOI: 10.1016/j.bulsci.2016.06.001
       
  • On triangular reaction cross-diffusion systems with possible
           self-diffusion
    • Authors: A. Trescases
      Pages: 796 - 829
      Abstract: Publication date: October 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 7
      Author(s): A. Trescases
      We present new results of existence of global solutions for a class of reaction cross-diffusion systems of two equations presenting a cross-diffusion term in the first equation, and possibly presenting a self-diffusion term in any (or both) of the two equations. This class of systems arises in Population dynamics, and notably includes the triangular SKT system. In particular, we recover and extend existing results for the triangular SKT system. Our proof relies on entropy and duality methods.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.03.008
       
  • Shuffle and Faà di Bruno Hopf algebras in the center problem for ordinary
           differential equations
    • Authors: Alexander Brudnyi
      Pages: 830 - 863
      Abstract: Publication date: October 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 7
      Author(s): Alexander Brudnyi
      In this paper we describe the Hopf algebra approach to the center problem for the differential equation d v d x = ∑ i = 1 ∞ a i ( x ) v i + 1 , x ∈ [ 0 , T ] , and study some combinatorial properties of the first return map of this equation. The paper summarizes and extends previously developed approaches to the center problem due to Devlin and the author.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.03.006
       
  • Hill's spectral curves and the invariant measure of the periodic KdV
           equation
    • Authors: Gordon Blower; Caroline Brett; Ian Doust
      Pages: 864 - 899
      Abstract: Publication date: October 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 7
      Author(s): Gordon Blower, Caroline Brett, Ian Doust
      This paper analyses the periodic spectrum of Schrödinger's equation − f ″ + q f = λ f when the potential is real, periodic, random and subject to the invariant measure ν N β of the periodic KdV equation. This ν N β is the modified canonical ensemble, as given by Bourgain (1994) [7], and ν N β satisfies a logarithmic Sobolev inequality. Associated concentration inequalities control the fluctuations of the periodic eigenvalues ( λ n ) . For β , N > 0 small, there exists a set of positive ν N β measure such that ( ± 2 ( λ 2 n + λ 2 n − 1 ) ) n = 0 ∞ gives a sampling sequence for Paley–Wiener space PW ( π ) and the reproducing kernels give a Riesz basis. Let ( μ j ) j = 1 ∞ be the tied spectrum; then ( 2 μ j − j ) belongs to a Hilbert cube in ℓ 2 and is distributed according to a measure that satisfies Gaussian concentration for Lipschitz functions. The sampling sequence ( μ j ) j = 1 ∞ arises from a divisor on the spectral curve, which is hyperelliptic of infinite genus. The linear statistics ∑ j g ( λ 2 j ) with test function g ∈ PW ( π ) satisfy Gaussian concentration inequalities.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.03.005
       
  • On a fractional Nirenberg problem on n-dimensional spheres: Existence and
           multiplicity results
    • Authors: Hichem Chtioui; Wael Abdelhedi
      Pages: 617 - 628
      Abstract: Publication date: September 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 6
      Author(s): Hichem Chtioui, Wael Abdelhedi
      In this paper, we consider a fractional Nirenberg type problem involving σ-exponent of the Laplacian on the standard n-dimensional spheres S n . We prove existence and multiplicity result under β-flatness condition, n − 2 σ < β < n . In particular, we give a new existence criterium which generalizes the previous results of [22] and [23] for σ ∈ ( 0 , 1 ) and recovers the already known result for the classical case σ = 1 .

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.04.007
       
  • On the fixed points set of differential systems reversibilities
    • Authors: Marco Sabatini
      Pages: 629 - 637
      Abstract: Publication date: September 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 6
      Author(s): Marco Sabatini
      We extend a result proved in [7] for mirror symmetries of planar systems to measure-preserving non-linear reversibilities of n-dimensional systems, dropping the analyticity and nondegeneracy conditions.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.03.007
       
  • Moutard transform approach to generalized analytic functions with contour
           poles
    • Authors: P.G. Grinevich; R.G. Novikov
      Pages: 638 - 656
      Abstract: Publication date: September 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 6
      Author(s): P.G. Grinevich, R.G. Novikov
      We show that local studies of generalized analytic functions with the simplest contour poles are reduced to the regular case via simple Moutard-type transforms. This work continues studies of [13,14].

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.01.003
       
  • Singular points of weakly holomorphic functions
    • Authors: Ewa Cygan; Maciej P. Denkowski
      Pages: 657 - 674
      Abstract: Publication date: September 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 6
      Author(s): Ewa Cygan, Maciej P. Denkowski
      In this paper we are interested in two kinds of singular points of weakly holomorphic functions. Points where a weakly holomorphic function is not holomorphic and points at which it just is not continuous. The latter are closely connected to points of irreducibility of the given analytic set. We investigate the structure of such points proving they form analytically constructible sets and we study the analytic cycle obtained from this result. We prove also that non-holomorphicity points of a given weakly or c-holomorphic function form an analytic subset of the singularities and give a new criterion for a weakly holomorphic function to be holomorphic.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.12.004
       
  • Engel theorem through singularities
    • Authors: M. Corrêa; Luis G. Maza
      Pages: 675 - 686
      Abstract: Publication date: September 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 6
      Author(s): M. Corrêa, Luis G. Maza
      We prove a singular version of the Engel theorem. We prove a normal form theorem for germs of holomorphic singular Engel systems with good conditions on its singular set. As an application, we prove that there exists an integral analytic curve passing through the singular points of the system. Also, we prove that a globally decomposable Engel system on a four dimensional projective space has singular set with atypical codimension.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.03.002
       
  • Uncertainty principles for the Heckman–Opdam transform
    • Authors: Troels Roussau Johansen
      Pages: 687 - 717
      Abstract: Publication date: September 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 6
      Author(s): Troels Roussau Johansen
      We establish several uncertainty principles for the Heckman–Opdam ‘hypergeometric’ Fourier transform associated with a root system of arbitrary rank, including analogues of the Donoho–Stark and Benedicks–Amrein–Berthier principles, and the Hirschman entropic uncertainty inequality. For rank one root systems, these results hold more generally for the Cherednik–Opdam transform.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.03.004
       
  • On a stochastic nonlocal conservation law in a bounded domain
    • Authors: Guangying Lv; Jinqiao Duan; Hongjun Gao; Jiang-Lun Wu
      Pages: 718 - 746
      Abstract: Publication date: September 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 6
      Author(s): Guangying Lv, Jinqiao Duan, Hongjun Gao, Jiang-Lun Wu
      In this paper, we are interested in the Dirichlet boundary value problem for a multi-dimensional nonlocal conservation law with a multiplicative stochastic perturbation in a bounded domain. Using the concept of measure-valued solutions and Kruzhkov's semi-entropy formulations, a result of existence and uniqueness of entropy solution is proved.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.03.003
       
  • Abstract dyadic cubes, maximal operators and Hausdorff content
    • Authors: Hiroki Saito; Hitoshi Tanaka; Toshikazu Watanabe
      Pages: 757 - 773
      Abstract: Publication date: September 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 6
      Author(s): Hiroki Saito, Hitoshi Tanaka, Toshikazu Watanabe
      Let μ be a locally finite Borel measure and D a family of measurable sets equipped with a certain dyadic structure. For E ⊂ R n and 0 < α ≤ n , by α-dimensional Hausdorff content we mean H μ α ( E ) = inf ⁡ ∑ j μ ( Q j ) α / n , where the infimum is taken over all coverings of E by countable families of the abstract dyadic cubes { Q j } ⊂ D . In this paper we study the boundedness of the Hardy–Littlewood maximal operator M D μ adapted to D and μ, that is, we prove the strong type ( p , p ) inequality ∫ ( M D μ f ) p d H μ α ≤ 2 2 p + 2 min ⁡ ( 1 , p ) − ( α / n ) ∫ f p d H μ α for α / n < p < ∞ , and the weak type ( α / n , α / n ) inequality H μ α ( { x ∈ R n : M D μ f ( x ) > t } ) ≤ 4 ( n / α ) α / n t − α / n ∫ f α / n d H μ α , t > 0 , where the integrals are taken in the Choquet sense.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.02.001
       
  • Equivariant Abelian principal bundles on nonsingular toric varieties
    • Authors: Arijit Dey; Mainak Poddar
      Pages: 471 - 487
      Abstract: Publication date: June 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 5
      Author(s): Arijit Dey, Mainak Poddar
      We give a classification of the holomorphic (resp. algebraic) torus equivariant principal G-bundles on a nonsingular toric variety X when G is an Abelian, closed, holomorphic (resp. algebraic) subgroup of the complex general linear group. We prove that any such bundle splits, that is, admits a reduction of structure group to a torus. We give an explicit parametrization of the isomorphism classes of such bundles for a large family of G when X is complete.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.05.002
       
  • Degrees of maps between locally symmetric spaces
    • Authors: Arghya Mondal; Parameswaran Sankaran
      Pages: 488 - 505
      Abstract: Publication date: June 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 5
      Author(s): Arghya Mondal, Parameswaran Sankaran
      Let X be a locally symmetric space Γ \ G / K where G is a connected non-compact semisimple real Lie group with trivial centre, K is a maximal compact subgroup of G, and Γ ⊂ G is a torsion-free irreducible lattice in G. Let Y = Λ \ H / L be another such space having the same dimension as X. Suppose that real rank of G is at least 2. We show that any f : X → Y is either null-homotopic or it is homotopic to a covering projection of degree an integer that depends only on Γ and Λ. As a corollary we obtain that the set [ X , Y ] of homotopy classes of maps from X to Y is finite. We obtain results on the (non-)existence of orientation reversing diffeomorphisms on X as well as the fixed point property for X.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.05.003
       
  • Transportation-cost inequalities on path spaces over manifolds carrying
           geometric flows
    • Authors: Li-Juan Cheng
      Pages: 541 - 561
      Abstract: Publication date: June 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 5
      Author(s): Li-Juan Cheng
      Let L t : = Δ t + Z t for a C 1 , 1 -vector field Z on a differential manifold M possibly with a boundary ∂M, where Δ t is the Laplacian operator induced by a time dependent metric g t differentiable in t ∈ [ 0 , T c ) . In this article, by constructing suitable coupling, transportation-cost inequalities on the path space of the (reflecting if ∂ M ≠ ∅ ) diffusion process generated by L t are proved to be equivalent to a new curvature lower bound condition and the convexity of the geometric flow (i.e., the boundary keeps convex). Some of them are further extended to non-convex flows by using conformal changes of the flows. As an application, these results are applied to the Ricci flow with the umbilic boundary.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.08.001
       
  • On the tangent cones to plurisubharmonic currents
    • Authors: Khalifa Dabbek; Noureddine Ghiloufi; Jawhar Hbil
      Pages: 562 - 574
      Abstract: Publication date: June 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 5
      Author(s): Khalifa Dabbek, Noureddine Ghiloufi, Jawhar Hbil
      In this paper, we study the existence of the tangent cone to a positive plurisubharmonic or plurisuperharmonic current with a suitable condition. Some estimates of the growth of the Lelong functions associated with the current and to its d d c are given to ensure the existence of the strict transform of this current. A second proof for the existence of the tangent cone is derived from these estimates.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.08.002
       
  • On the three-dimensional magnetohydrodynamics system in scaling-invariant
           spaces
    • Authors: Kazuo Yamazaki
      Pages: 575 - 614
      Abstract: Publication date: June 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 5
      Author(s): Kazuo Yamazaki
      We study the criterion for the velocity and magnetic vector fields that solve the three-dimensional magnetohydrodynamics system, given any initial data sufficiently smooth, to experience a finite-time blowup. Following the work of Chemin and Zhang [12] and making use of the structure of the system, we obtain a criterion that is imposed on the magnetic vector field and only one of the three components of the velocity vector field, both in scaling-invariant spaces.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.08.003
       
  • Hermitian symmetric space, flat bundle and holomorphicity criterion
    • Authors: Hassan Azad; Indranil Biswas; C.S. Rajan; Shehryar Sikander
      Pages: 1 - 10
      Abstract: Publication date: May 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 4
      Author(s): Hassan Azad, Indranil Biswas, C.S. Rajan, Shehryar Sikander
      Let K \ G be an irreducible Hermitian symmetric space of noncompact type and Γ ⊂ G a closed torsionfree discrete subgroup. Let X be a compact Kähler manifold and ρ : π 1 ( X , x 0 ) ⟶ Γ a homomorphism such that the adjoint action of ρ ( π 1 ( X , x 0 ) ) on the Lie algebra Lie ( G ) is completely reducible. A theorem of Corlette associates to ρ a harmonic map H : X ⟶ K \ G / Γ . We give a criterion for this harmonic map H to be holomorphic. We also give a criterion for it to be anti-holomorphic.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.03.001
       
  • On the Gieseker Harder–Narasimhan filtration for principal bundles
    • Authors: Indranil Biswas; Alfonso Zamora
      Pages: 58 - 69
      Abstract: Publication date: May 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 4
      Author(s): Indranil Biswas, Alfonso Zamora
      We give an example of an orthogonal bundle where the Harder–Narasimhan filtration, with respect to Gieseker semistability, of its underlying vector bundle does not correspond to any parabolic reduction of the orthogonal bundle. A similar example is given for the symplectic case.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.02.004
       
  • Lower-bound estimates for a class of harmonic functions and applications
           to Masaev's Type theorem
    • Authors: Lei Qiao; Guoshuang Pan
      Pages: 70 - 85
      Abstract: Publication date: May 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 4
      Author(s): Lei Qiao, Guoshuang Pan
      This paper is concerned with a class of harmonic functions in a cone. Exploiting some ideas of Levin, we derive lower-bound estimates for them. Using these estimates, we investigate Masaev's Type inequalities.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.02.005
       
  • Maximal multiplier operators in Lp(⋅)(Rn) spaces
    • Authors: Amiran Gogatishvili; Tengiz Kopaliani
      Pages: 86 - 97
      Abstract: Publication date: May 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 4
      Author(s): Amiran Gogatishvili, Tengiz Kopaliani
      In this paper we study some estimates of norms in variable exponent Lebesgue spaces for maximal multiplier operators. We will consider the case when multiplier is the Fourier transform of a compactly supported Borel measure.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.04.003
       
  • On the double zeros of a partial theta function
    • Authors: Vladimir Petrov Kostov
      Pages: 98 - 111
      Abstract: Publication date: May 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 4
      Author(s): Vladimir Petrov Kostov
      The series θ ( q , x ) : = ∑ j = 0 ∞ q j ( j + 1 ) / 2 x j converges for q ∈ [ 0 , 1 ) , x ∈ R , and defines a partial theta function. For any fixed q ∈ ( 0 , 1 ) it has infinitely many negative zeros. For q taking one of the spectral values q ˜ 1 , q ˜ 2 , … (where 0.3092493386 … = q ˜ 1 < q ˜ 2 < ⋯ < 1 , lim j → ∞ ⁡ q ˜ j = 1 ) the function θ ( q , . ) has a double zero y j which is the rightmost of its real zeros (the rest of them being simple). For q ≠ q ˜ j the partial theta function has no multiple real zeros. We prove that q ˜ j = 1 − π / 2 j + ( log ⁡ j ) / 8 j 2 + O ( 1 / j 2 ) and y j = − e π e − ( log ⁡ j ) / 4 j + O ( 1 / j ) .

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.04.006
       
  • Generalised friezes and a modified Caldero–Chapoton map depending on
           a rigid object, II
    • Authors: Thorsten Holm; Peter Jørgensen
      Pages: 112 - 131
      Abstract: Publication date: May 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 4
      Author(s): Thorsten Holm, Peter Jørgensen
      It is an important aspect of cluster theory that cluster categories are “categorifications” of cluster algebras. This is expressed formally by the (original) Caldero–Chapoton map X which sends certain objects of cluster categories to elements of cluster algebras. Let τ c → b → c be an Auslander–Reiten triangle. The map X has the salient property that X ( τ c ) X ( c ) − X ( b ) = 1 . This is part of the definition of a so-called frieze, see [1]. The construction of X depends on a cluster tilting object. In a previous paper [14], we introduced a modified Caldero–Chapoton map ρ depending on a rigid object; these are more general than cluster tilting objects. The map ρ sends objects of sufficiently nice triangulated categories to integers and has the key property that ρ ( τ c ) ρ ( c ) − ρ ( b ) is 0 or 1. This is part of the definition of what we call a generalised frieze. Here we develop the theory further by constructing a modified Caldero–Chapoton map, still depending on a rigid object, which sends objects of sufficiently nice triangulated categories to elements of a commutative ring A. We derive conditions under which the map is a generalised frieze, and show how the conditions can be satisfied if A is a Laurent polynomial ring over the integers. The new map is a proper generalisation of the maps X and ρ.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2015.05.001
       
  • Protocol for making a 2-qutrit entangling gate in the Kauffman-Jones
           version of SU(2)4
    • Authors: Claire Levaillant
      Abstract: Publication date: Available online 5 December 2016
      Source:Bulletin des Sciences Mathématiques
      Author(s): Claire Levaillant
      We provide a protocol to physically generate a 2-qutrit entangling gate in the Kauffman-Jones version of S U ( 2 ) Chern-Simons theory at level 4. The protocol uses elementary operations on anyons consisting of braids, interferometric measurements, fusions and unfusions and ancilla pair creations.

      PubDate: 2016-12-06T05:46:25Z
      DOI: 10.1016/j.bulsci.2016.06.002
       
  • Ultragraphs and shift spaces over infinite alphabets
    • Authors: Daniel Gonçalves; Danilo Royer
      Abstract: Publication date: Available online 2 December 2016
      Source:Bulletin des Sciences Mathématiques
      Author(s): Daniel Gonçalves, Danilo Royer
      In this paper we further develop the theory of one-sided shift spaces over infinite alphabets, characterizing one-step shifts as edge shifts of ultragraphs and partially answering a conjecture regarding shifts of finite type (we show that there exists shifts of finite type that are not conjugate, via a conjugacy that is eventually finite periodic, to an edge shift of a graph ). We also show that there exists edge shifts of ultragraphs that are shifts of finite type, but are not conjugate to a full shift, a result that is not true for edge shifts of graphs. One of the key results needed in the proofs of our conclusions is the realization of a class of ultragraph C*-algebras as partial crossed products, a result of interest on its own.

      PubDate: 2016-12-06T05:46:25Z
      DOI: 10.1016/j.bulsci.2016.10.002
       
  • Invertible harmonic mappings of the unit disk onto Dini smooth Jordan
           domains
    • Authors: David Kalaj
      Abstract: Publication date: Available online 17 November 2016
      Source:Bulletin des Sciences Mathématiques
      Author(s): David Kalaj
      In this paper we extend Radó-Kneser-Choquet theorem for the mappings with weak homeomorphic Lipschitz boundary function and Dini's smooth boundary but without restriction on the convexity of the image domain, provided that the Jacobian satisfies a certain boundary condition. The proof is based on a recent extension of Radó-Kneser-Choquet theorem by Alessandrini and Nesi [1] and is used the approximation principle.

      PubDate: 2016-11-24T17:45:41Z
      DOI: 10.1016/j.bulsci.2016.11.001
       
  • On the second cohomology of nilpotent orbits in exceptional Lie algebras
    • Authors: Pralay Chatterjee; Chandan Maity
      Abstract: Publication date: Available online 4 October 2016
      Source:Bulletin des Sciences Mathématiques
      Author(s): Pralay Chatterjee, Chandan Maity
      In [1], the second de Rham cohomology groups of nilpotent orbits in all the complex simple Lie algebras are described. In this paper we consider non-compact non-complex exceptional Lie algebras, and compute the dimensions of the second cohomology groups for most of the nilpotent orbits. For the rest of cases of nilpotent orbits, which are not covered in the above computations, we obtain upper bounds for the dimensions of the second cohomology groups.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.10.001
       
  • Diamond cone for spo(2m,1)
    • Authors: Agrebaoui Abdelkader; Ben Hassine Mohamed Ali Maalaoui
      Abstract: Publication date: October 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 7
      Author(s): Boujemaâ Agrebaoui, Abdelkader Ben Hassine, Mohamed Ali Maalaoui
      In the present paper, we define the diamond cone for the Lie superalgebra spo ( 2 m , 1 ) , considering the (covariant) tensor representation of spo ( 2 m , 1 ) . The diamond cone is no more indecomposable. Nevertheless, we give a basis for each indecomposable component, using quasistandard Young tableaux for spo ( 2 m , 1 ) . We realize a bijection between the set of semistandard tableaux with shape λ and the set of quasistandard tableaux with shape μ ≤ λ . This gives the compatibility of the diamond cone with the natural stratification of the reduced shape algebra.

      PubDate: 2016-10-04T20:36:49Z
       
  • Serre duality and Hörmander's solution of the ∂¯-equation
    • Authors: Eric Amar
      Abstract: Publication date: September 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 6
      Author(s): Eric Amar
      We use duality in the manner of Serre to generalize a theorem of Hedenmalm on solution of the ∂ ¯ equation with inverse of the weight in Hörmander L 2 estimates.

      PubDate: 2016-10-04T20:36:49Z
       
  • Prescribed Webster scalar curvature on S2n+1 in the presence of reflection
           or rotation symmetry
    • Authors: Pak Tung
      Abstract: Publication date: June 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 5
      Author(s): Pak Tung Ho
      In this paper, we prove an existence result of prescribing Webster scalar curvature on the CR sphere in cases where the prescribed function exhibits reflection or rotation symmetry.

      PubDate: 2016-10-04T20:36:49Z
       
  • Bifurcation of limit cycles from a non-smooth perturbation of a
           two-dimensional isochronous cylinder
    • Authors: C.A. Buzzi; R.D. A.C. Mereu
      Abstract: Publication date: June 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 5
      Author(s): C.A. Buzzi, R.D. Euzébio, A.C. Mereu
      Detect the birth of limit cycles in non-smooth vector fields is a very important matter into the recent theory of dynamical systems and applied sciences. The goal of this paper is to study the bifurcation of limit cycles from a continuum of periodic orbits filling up a two-dimensional isochronous cylinder of a vector field in R 3 . The approach involves the regularization process of non-smooth vector fields and a method based in the Malkin bifurcation function for C 0 perturbations. The results provide sufficient conditions in order to obtain limit cycles emerging from the cylinder through smooth and non-smooth perturbations of it. To the best of our knowledge they also illustrate the implementation by the first time of a new method based in the Malkin bifurcation function. In addition, some points concerning the number of limit cycles bifurcating from non-smooth perturbations compared with smooth ones are studied. In summary the results yield a better knowledge about limit cycles in non-smooth vector fields in R 3 and explicit a manner to obtain them by performing non-smooth perturbations in codimension one Euclidean manifolds.

      PubDate: 2016-10-04T20:36:49Z
       
  • Publisher's note to Bulletin des Sciences Mathématiques, volume 140
           issue 4
    • Abstract: Publication date: June 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 5


      PubDate: 2016-10-04T20:36:49Z
       
  • L'équation de Poisson pour les formes différentielles sur un espace
           symétrique et ses applications
    • Abstract: Publication date: May 2016
      Source:Bulletin des Sciences Mathématiques, Volume 140, Issue 4
      Author(s): Noël Lohoué
      We prove L p and weighted L p estimates for the solutions α of the Poisson equation Δ α = β on differential forms with data β in L p or in weighted L p , in a symmetric space M. We study carefully the range of p for which the de Rham–Hodge projection, a priori defined on L 2 , is bounded on L p .

      PubDate: 2016-10-04T20:36:49Z
       
  • Non-normal numbers: Full Hausdorff dimensionality vs zero dimensionality
    • Authors: Sergio Albeverio; Iryna Garko; Muslem Ibragim; Grygoriy Torbin
      Abstract: Publication date: Available online 5 April 2016
      Source:Bulletin des Sciences Mathématiques
      Author(s): Sergio Albeverio, Iryna Garko, Muslem Ibragim, Grygoriy Torbin
      In the present paper we study the dependence of fractal and metric properties of numbers which are non-normal resp. essentialy non-normal w.r.t. a chosen system of numeration. In particular, we solve open problems mentioned in [1] and prove that there exist expansions (the Q ⁎ -expansions or Q ⁎ -representations) for real numbers such that the corresponding sets of essentially non-normal numbers and even the whole set of non-normal numbers are of zero Hausdorff dimension. On the other hand, we show that in the same model of Q ⁎ -expansions it is possible to choose the matrix Q ⁎ in such a way that the corresponding set of essentially non-normal numbers is of full Lebesgue measure. Sufficient conditions for full dimensionality resp. zero dimensionality of the set of essentially non-normal numbers are also presented.

      PubDate: 2016-10-04T20:36:49Z
      DOI: 10.1016/j.bulsci.2016.04.001
       
 
 
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