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MATHEMATICS (742 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 33)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
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: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 11)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 4)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 9)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 14)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Science     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Nonlinear Analysis     Hybrid Journal  
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
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: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 6)
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: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
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)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 10)
Anadol University Journal of Science and Technology B : Theoritical Sciences     Open Access  
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 2)
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Data Science     Hybrid Journal   (Followers: 12)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 3)
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  
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 3)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 14)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 8)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 21)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
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: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
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: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 12)
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: 2)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
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: 19)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
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: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
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: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
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: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 8)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 9)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 13)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 31)
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: 4)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Econometrics     Open Access   (Followers: 2)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Educação Matemática Debate     Open Access  
EduMatSains     Open Access  
Electronic Journal of Combinatorics     Open Access  

        1 2 3 4 | Last

Journal Cover
Analysis and Mathematical Physics
Journal Prestige (SJR): 0.536
Citation Impact (citeScore): 1
Number of Followers: 5  
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1664-2368 - ISSN (Online) 1664-235X
Published by Springer-Verlag Homepage  [2352 journals]
  • Hyponormal Toeplitz operators with non-harmonic algebraic symbol
    • Authors: Brian Simanek
      Abstract: Given a bounded function \(\varphi \) on the unit disk in the complex plane, we consider the operator \(T_{\varphi }\) , defined on the Bergman space of the disk and given by \(T_{\varphi }(f)=P(\varphi f)\) , where P denotes the orthogonal projection to the Bergman space in \(L^2({\mathbb {D}},dA)\) . For algebraic symbols \(\varphi \) , we provide new necessary conditions on \(\varphi \) for \(T_{\varphi }\) to be hyponormal, extending recent results of Fleeman and Liaw. Our approach is perturbative and aims to understand how small changes to a symbol preserve or destroy hyponormality of the corresponding operator. We consider both additive and multiplicative perturbations of a variety of algebraic symbols. One of our main results provides a necessary condition on the complex constant C for the operator \(T_{z^n+C z ^s}\) to be hyponormal. This condition is also sufficient if \(s\ge 2n\) .
      PubDate: 2019-01-08
      DOI: 10.1007/s13324-018-00279-2
  • Correction to: A $${\texttt {p}}({\cdot })$$ p ( · ) -Poincaré-type
           inequality for variable exponent Sobolev spaces with zero boundary values
           in Carnot groups
    • Authors: Thomas Bieske; Robert D. Freeman
      Abstract: In this short note, we remark on the main theorem of Theorem 5.1].
      PubDate: 2019-01-03
      DOI: 10.1007/s13324-018-00278-3
  • Bianalytic capacities and Calderon commutators
    • Authors: Maxim Ya Mazalov
      Abstract: Bianalytic capacities appear naturally in problems of uniform approximation of functions by bianalytic functions on compact sets in the complex plane. They play a crucial role in constructions of approximants in several such problems. It turns out, that bianalytic capacities obey several unusual properties in comparison with other capacities studied in the approximation theory. In particular, bianalytic capacities do not satisfy the semiadditivity property. In this paper, we study these capacities and consider their relations with Calderon commutators.
      PubDate: 2018-12-18
      DOI: 10.1007/s13324-018-0276-y
  • Titchmarsh–Weyl theory for vector-valued discrete Schrödinger
    • Authors: Keshav Raj Acharya
      Abstract: We develop the Titchmarsh–Weyl theory for vector-valued discrete Schrödinger operators. We show that the Weyl m functions associated with these operators are matrix valued Herglotz functions that map complex upper half plane to the Siegel upper half space. We discuss about the Weyl disk and Weyl circle corresponding to these operators by defining these functions on a bounded interval. We also discuss the geometric properties of Weyl disk and find the center and radius of the Weyl disk explicitly in terms of matrices.
      PubDate: 2018-12-17
      DOI: 10.1007/s13324-018-0277-x
  • Differential invariants for spherical layer flows of inviscid fluids
    • Authors: Anna Duyunova; Valentin Lychagin; Sergey Tychkov
      Abstract: Symmetries and the corresponding algebras of differential invariants of inviscid fluids on a spherical layer are given. Their dependence on thermodynamical states of the medium is studied, and a classification of thermodynamical states is given.
      PubDate: 2018-12-13
      DOI: 10.1007/s13324-018-0274-0
  • Laguerre polynomials and transitional asymptotics of the modified
           Korteweg–de Vries equation for step-like initial data
    • Authors: M. Bertola; A. Minakov
      Abstract: We consider the compressive wave for the modified Korteweg–de Vries equation with background constants \(c>0\) for \(x\rightarrow -\infty \) and 0 for \(x\rightarrow +\infty \) . We study the asymptotics of solutions in the transition zone \(4c^2t-\varepsilon t<x<4c^2t-\beta t^{\sigma }\ln t\) for \(\varepsilon >0,\) \(\sigma \in (0,1),\) \(\beta >0.\) In this region we have a bulk of nonvanishing oscillations, the number of which grows as \(\frac{\varepsilon t}{\ln t}.\) Also we show how to obtain Khruslov–Kotlyarov’s asymptotics in the domain \(4c^2t-\rho \ln t<x<4c^2t\) with the help of parametrices constructed out of Laguerre polynomials in the corresponding Riemann–Hilbert problem.
      PubDate: 2018-12-12
      DOI: 10.1007/s13324-018-0273-1
  • On $$C^1$$ C 1 -approximability of functions by solutions of second order
           elliptic equations on plane compact sets and C -analytic capacity
    • Authors: P. V. Paramonov; X. Tolsa
      Abstract: Criteria for approximability of functions by solutions of homogeneous second order elliptic equations (with constant complex coefficients) in the norms of the Whitney \(C^1\) -spaces on compact sets in \(\mathbb {R}^2\) are obtained in terms of the respective \(C^1\) -capacities. It is proved that the mentioned \(C^1\) -capacities are comparable to the classic C-analytic capacity, and so have a proper geometric measure characterization.
      PubDate: 2018-12-08
      DOI: 10.1007/s13324-018-0275-z
  • A Darboux transformation for the Volterra lattice equation
    • Authors: Wen-Xiu Ma
      Abstract: A Darboux transformation is presented for the Volterra lattice equation, based on a pair of \(2\times 2\) matrix spectral problems. The resulting DT is applied to construction of solitary wave solutions from a constant seed solution. A particular phenomenon is that only one condition is required in determining the corresponding Darboux matrix, but not two as for most pairs of \(2\times 2 \) matrix spectral problems.
      PubDate: 2018-12-08
      DOI: 10.1007/s13324-018-0267-z
  • Decay estimates for the arithmetic means of coefficients connected with
           composition operators
    • Authors: Faruk F. Abi-Khuzam
      Abstract: Let \(f\in L^{\infty }(T)\) with \(\Vert f\Vert _{\infty }\le 1\) . If \(f(0)\ne 0,\) \(n,k\in {\mathbb {Z}} \) , and \(b_{n,n-k}=\int _{E}f(x)^{n}e^{-2\pi i(n-k)x}dx\) , \(E=\{x\in T: f(x) =1\}\) , we prove that the arithmetic means \(\frac{1}{N} \sum _{n=M}^{M+N} b_{n,n-k} ^{2}\) decay like \(\{\log N\log _{2}N\cdot \cdot \cdot \log _{q}N\}^{-1}\) as \(N\rightarrow \infty \) , uniformly in \(k\in {\mathbb {Z}} \) .
      PubDate: 2018-12-06
      DOI: 10.1007/s13324-018-0272-2
  • Lax pair and lump solutions for the (2+1)-dimensional DJKM equation
           associated with bilinear Bäcklund transformations
    • Authors: Li Cheng; Yi Zhang; Mei-Juan Lin
      Abstract: We aim to explore exact solutions and integrable properties to the (2+1)-dimensional DJKM equation. Based on the bilinear Bäcklund transformation, we first furnish Lax pair and complex exponential wave function solutions, and then give complexitons or hyperbolic function solutions. Moreover, via the nonlinear superposition formula, the construction procedure for presenting rational solutions is improved. The key step is that all the involved parameters are extended to the complex field. In particular, we show that the (2+1)-dimensional DJKM equation possesses a general class of lump solutions when \({\sigma }^2=-1\) .
      PubDate: 2018-12-05
      DOI: 10.1007/s13324-018-0271-3
  • The Cauchy problem for Boussinesq equations with general elliptic part
    • Authors: Veli B. Shakhmurov; Rishad Shahmurov
      Abstract: In this paper, the existence and uniqueness of solution of the Cauchy problem for abstract Boussinesq equation is obtained. The leading part of the equation include general elliptic operator and abstract positive operator in a Banach space E. Since the Banach space E and linear operators are sufficiently large classes, by choosing their we obtain the existence and uniqueness of solution of numerous classes of generalized Boussinesq type equations which occur in a wide variety of physical systems. By applying this result, the Wentzell–Robin type mixed problem for Boussinesq equations and the Cauchy problem for finite or infinite systems of Boussinesq equations are studied.
      PubDate: 2018-12-01
      DOI: 10.1007/s13324-018-0265-1
  • Exponentially harmonic maps between surfaces
    • Authors: Yuan-Jen Chiang
      Abstract: We show the maximum principle for exponential energy minimizing maps. We then estimate the distance of two image points of an exponentially harmonic map between surfaces. We also study the existence of an exponentially harmonic map between surfaces if the image is contained in a convex disc. We finally investigate the existence of an exponentially harmonic map \(f:M_1\rightarrow M_2\) between surfaces in case \(\pi _2 (M_2) = \emptyset \) .
      PubDate: 2018-12-01
      DOI: 10.1007/s13324-018-0270-4
  • Solitonic metrics and harmonic maps
    • Authors: Sorin Dragomir; Guilin Yang
      Abstract: We investigate the relationship between solitonic metrics \(g_u = - (\sin ^2 \frac{u}{2}) c^2 d t^2 + (\cos ^2 \frac{u}{2}) \sum _{i=1}^n (d x^i )^2\) with \(u \in C^\infty ({{\mathbb {R}}}^{n+1})\) and stationary points of the functional \(E_\Omega (\Phi ) = \frac{1}{2} \int _\Omega \Vert d \Phi \Vert ^2 d^{n+1} \mathbf{x}\) with \(\Phi \in C^\infty ({{\mathbb {R}}}^{n+1}, S^2 )\) . Building on work by F.L. Williams (cf. Williams, in: Milton (ed) Quantum field theory under the influence of external conditions, Rinton Press, Princeton, pp 370–372, 2004; in: 4th international winter conference on mathematical methods in physics, Rio de Janeiro,, 2004; in: Chen (ed) Trends in soliton research, Nova Science Publications, Hauppauge, pp 1–14, 2006; in: Maraver, Kevrekidis, Williams (eds) The sine-gordon modeland its applications, Springer, Berlin, pp 177–205, 2014) we show that a map \(\Phi = (\cos \beta \sin \frac{u}{2}, \sin \beta \sin \frac{u}{2}, \cos \frac{u}{2} )\) with \(\beta (\mathbf{x}, t) = m \big ( 1 + \mathbf{v} ^2 \big )^{-1/2} (t + \mathbf{v} \cdot \mathbf{x})\) is harmonic if and only if \(u_{tt} + \Delta u = m^2 \sin u\) (the sine-Gordon equation) and \(u_t + \mathbf{v} \cdot \nabla u = 0\) (the convection equation). In the spirit of work by B. Solomon (cf. Solomon in J Differ Geom 21:151–162, 1985) we build a 1-parameter variation of \(\Phi \) which singles out [from the full Euler–Lagrange system of the variational principle \(\delta E_\Omega (\Phi ) = 0\) ] the convection equation. Williams’ harmonic maps \(\Phi ^\pm = (1 + v^2 )^{-1/2} (\tau \cos \beta , \tau \sin \beta , \pm (1 + v^2 )^{1/2}\tanh \rho )\) are shown to be harmonic morphisms of dilation \(\lambda = m(1 + v^2 )^{-1/2}\tau \) , further explaining the relationship between Jackiw–Teitelboim 2-dimensional dilation-gravity theory (cf. Jackiw, in: Christensen (ed) Quantum theory of gravity, MIT, Cambridge, pp 403–420, 1982; Teitelboim, in: Christensen (ed) Quantum theory of gravity, Adam Hilger Ltd, Bristol, pp 403–420, 1984) and harmonic map theory (cf. Baird and Wood Harmonic morphisms between Riemannian manifolds, London mathematical society monographs, new series, 29, The Clarendon Press, Oxford University Press, Oxford, ISBN 0-19-850362-8, 2003). We show that geodesic motion in a weak solitonic gravitational field \(g_{u_\epsilon }\) [ \(u_\epsilon = u_0 + 2 \epsilon \rho \) with \(\rho \in C^\infty ({{\mathbb {R}}}^{n+1})\) bounded and \(\epsilon<< 1\) ] in the Newtonian velocity limit ( \(\Vert \mathbf{u}\Vert /c<< 1\) ) obeys to the law of motion \(d^2 \mathbf{r}/d t^2 = - \nabla \phi \)
      PubDate: 2018-11-27
      DOI: 10.1007/s13324-018-0269-x
  • Dedication to Alexander Vasil’ev (1962–2016)
    • PubDate: 2018-11-19
      DOI: 10.1007/s13324-018-0260-6
  • Equivalence of weak and viscosity solutions to the $${\texttt {p}}(x)$$ p
           ( x ) -Laplacian in Carnot groups
    • Authors: Thomas Bieske; Robert D. Freeman
      Abstract: We show the equivalence of weak and viscosity solutions to the \({\texttt {p}}(x)\) -Laplacian in Carnot groups, under certain reasonable restrictions on the function \({\texttt {p}}(x)\) and on the viscosity solution. We also obtain a comparison principle for viscosity solutions. This then implies that viscosity solutions to Dirichlet problems are unique.
      PubDate: 2018-11-17
      DOI: 10.1007/s13324-018-0266-0
  • Compactness of embedding of generalized higher order Lipschitz classes
    • Authors: Carlos Daniel Tamayo Castro; Ricardo Abreu Blaya; Juan Bory Reyes
      Abstract: In this paper sufficient conditions for continuous and compact embeddings of generalized higher order Lipschitz classes on a compact subset of n-dimensional real Euclidean spaces are obtained.
      PubDate: 2018-11-16
      DOI: 10.1007/s13324-018-0268-y
  • Eigenvalues of the bilayer graphene operator with a complex valued
    • Authors: Oleg Safronov; Ari Laptev; Francesco Ferrulli
      Abstract: We study the spectrum of a system of second order differential operator \(D_m\) perturbed by a non-selfadjoint matrix valued potential V. We prove that eigenvalues of \(D_m+V\) are located near the edges of the spectrum of the unperturbed operator \(D_m\) .
      PubDate: 2018-11-07
      DOI: 10.1007/s13324-018-0262-4
  • A 1-point poly-quadrature domain of order 1 not biholomorphic to a
           complete circular domain
    • Authors: Pranav Haridas; Jaikrishnan Janardhanan
      Abstract: It is known that if \(f: D_1 \rightarrow D_2\) is a polynomial biholomorphism with polynomial inverse and constant Jacobian then \(D_1\) is a 1-point poly-quadrature domain (the Bergman span contains all holomorphic polynomials) of order 1 whenever \(D_2\) is a complete circular domain. Bell conjectured that all 1-point poly-quadrature domains arise in this manner. In this note, we construct a 1-point poly-quadrature domain of order 1 that is not biholomorphic to any complete circular domain.
      PubDate: 2018-11-02
      DOI: 10.1007/s13324-018-0263-3
  • On the strong regularity with the multifractal measures in a probability
    • Authors: Bilel Selmi
      Abstract: We prove a decomposition theorem of Besicovitch’s type for the relative multifractal Hausdorff measure and packing measure in a probability space. By obtaining a new necessary condition for the strong regularity with the multifractal measures in a more general framework, we extend in this paper the density theorem of Dai and Li (A multifractal formalism in a probability space. Chaos Solitons Fractals 27:57–73, 2006). In particular, this result is more refined than those found in Dai and Taylor (Defining fractal in a probability space. Ill J Math 38:480–500, 1994).
      PubDate: 2018-11-01
      DOI: 10.1007/s13324-018-0261-5
  • Symmetric properties of p -integrable Teichmüller spaces
    • Authors: Melkana A. Brakalova
      Abstract: We prove symmetric properties of the p-integrable subspaces \(T_p\) of the universal Teichmüller space T,  for \(p>0.\) The elements of \(T_p\) are quasisymmetric automorphisms of the real line or of the unit circle, which have a q.c. extension with p-integrable complex dilatation with respect to the Poincaré metric. We show that \(T_p\subset T_S,\) where \(T_S\) is the symmetric Teichmüller space and that, in the case of the real line, \(T_p\subset T_0,\) where \(T_0\) is the little Teichmüller space. The proofs use properties of the boundary behavior of q.c maps such as uniform weak conformality.
      PubDate: 2018-10-31
      DOI: 10.1007/s13324-018-0259-z
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