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MATHEMATICS (659 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: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
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: 25)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
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: 8)
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: 5)
Advances in Difference Equations     Open Access   (Followers: 2)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
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: 6)
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: 9)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
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 Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
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: 3)
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: 11)
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: 7)
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 Network Science     Open Access   (Followers: 1)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
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: 5)
BIBECHANA     Open Access   (Followers: 1)
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: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 9)
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: 1)
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: 20)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (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: 3)
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: 14)
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: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
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: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
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)

        1 2 3 4 | Last

Journal Cover Bulletin of the Malaysian Mathematical Sciences Society
  [SJR: 0.614]   [H-I: 14]   [0 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0126-6705 - ISSN (Online) 2180-4206
   Published by Springer-Verlag Homepage  [2352 journals]
  • Approximation of q -Stancu-Beta Operators Which Preserve $$x^2$$ x 2
    • Authors: M. Mursaleen; Khursheed J. Ansari
      Pages: 1479 - 1491
      Abstract: In this paper, we study some approximation properties of q-analogue of Stancu-Beta operators which preserve \(x^{2}\) . We determine the rate of global convergence in weighted spaces. We also prove the Voronovskaja-type theorem for these operators.
      PubDate: 2017-10-01
      DOI: 10.1007/s40840-015-0146-9
      Issue No: Vol. 40, No. 4 (2017)
  • Nice Operators into G -Spaces
    • Authors: Ana M. Cabrera-Serrano; Juan F. Mena-Jurado
      Pages: 1613 - 1621
      Abstract: G-spaces are a class of \(L_1\) -preduals introduced by Grothendieck. We prove that if every extreme operator from any Banach space into a G-space, X, is a nice operator (that is, its adjoint preserves extreme points), then X is isometrically isomorphic to \(c_0(I)\) for some set I. One of the main points in the proof is a characterization of spaces of type \(c_0(I)\) by means of the structure topology on the extreme points of the dual space.
      PubDate: 2017-10-01
      DOI: 10.1007/s40840-015-0155-8
      Issue No: Vol. 40, No. 4 (2017)
  • Some Applications of Nunokawa’s Lemma
    • Authors: Mamoru Nunokawa; Janusz Sokół; Nak Eun Cho
      Pages: 1791 - 1800
      Abstract: The purpose of the present paper is to prove a geometric property for analytic functions p in the open unit disk with \(p(0)=1\) by using Nunokawa’s result, which is a generalized form of well-known Jack’s lemma. This property concerns a boundary behavior of the functions p. As the applications of the main result, we obtain a few corollaries where several sufficient conditions for p to be of the real part greater than a given number \(\beta \ (0\le \beta <1)\) are also investigated.
      PubDate: 2017-10-01
      DOI: 10.1007/s40840-016-0398-z
      Issue No: Vol. 40, No. 4 (2017)
  • Multiplicity of Solutions for Kirchhoff-Type Problem with Two-Superlinear
    • Authors: Guanggang Liu; Shaoyun Shi; Yucheng Wei
      Abstract: In this paper we consider a class of Kirchhoff-type problem with 2-superlinear potentials. The existence of one positive solution and one negative solution will be established by using iterative technique and the Mountain Pass theorem, and a sign changing solution will be obtained by combining iterative technique and the Nehari method.
      PubDate: 2017-11-13
      DOI: 10.1007/s40840-017-0571-z
  • The Quasi-tree Graph with Maximum Laplacian Spread
    • Authors: Zhen Lin; Shu-Guang Guo; Ke Luo
      Abstract: The Laplacian spread of a graph G is defined to be the difference between the largest eigenvalue and the second-smallest eigenvalue of the Laplacian matrix of G. Let \({\mathcal {Q}}_t(n, d)=\{G\, \, G-v_0\ \hbox {is a tree on }n-1\hbox { vertices and } d_G(v_0)=d\}.\) Recently, Y. Xu and J. Meng characterized the unique graph with maximum Laplacian spread among all graphs in the set \({\mathcal {Q}}_t(n, d)\) with \(1\le d\le (n-4)/2\) . In this paper, we extend their result by determining the unique graph with maximum Laplacian spread among all graphs in the set \({\mathcal {Q}}_t(n, d)\) with \(1\le d\le n-5\) .
      PubDate: 2017-11-11
      DOI: 10.1007/s40840-017-0572-y
  • Fractional Differential Equations with Mixed Boundary Conditions
    • Authors: Ricardo Almeida
      Abstract: In this paper, we discuss the existence and uniqueness of solutions of a boundary value problem for a fractional differential equation of order \(\alpha \in (2,3)\) , involving a general form of fractional derivative. First, we prove an equivalence between the Cauchy problem and the Volterra equation. Then, two results on the existence of solutions are proven, and we end with some illustrative examples.
      PubDate: 2017-11-11
      DOI: 10.1007/s40840-017-0569-6
  • On the Laplacian Spectra of Some Double Join Operations of Graphs
    • Authors: Gui-Xian Tian; Jing-Xiang He; Shu-Yu Cui
      Abstract: Many variants of join operations of graphs have been introduced, and their spectral properties have been studied extensively by many researchers. This paper mainly focuses on the Laplacian spectra of some double join operations of graphs. We first introduce the conception of double join matrix and provide a complete information about its eigenvalues and the corresponding eigenvectors. Further, we define four variants of double join operations based on subdivision graph, Q-graph, R-graph and total graph. Applying the result obtained about double join matrices, we give an explicit complete characterization of the Laplacian eigenvalues and the corresponding eigenvectors of four variants in terms of the Laplacian eigenvalues and the eigenvectors of factor graphs. These results generalize some well-known results on the Laplacian spectra of some join operations of graphs.
      PubDate: 2017-11-11
      DOI: 10.1007/s40840-017-0566-9
  • On the Topological Conjugacy of Brouwer Flows
    • Authors: Zbigniew Leśniak
      Abstract: We study the problem of topological conjugacy of Brouwer flows. We give a sufficient and necessary condition for Brouwer flows to be topologically conjugate. To obtain this result we use a cover of the plane by maximal parallelizable regions and relations between parallelizing homeomorphisms of these regions. We show that for topologically equivalent Brouwer flows there exists a one-to-one correspondence between such covers of the plane.
      PubDate: 2017-11-11
      DOI: 10.1007/s40840-017-0567-8
  • On the Eccentric Complexity of Graphs
    • Authors: Yaser Alizadeh; Tomislav Došlić; Kexiang Xu
      Abstract: Let G be a simple connected graph. The eccentric complexity of graph G is introduced as the number of different eccentricities of its vertices. A graph with eccentric complexity equal to one is called self-centered. In this paper, we study the eccentric complexity of graph under several graph operations such as complement of graph, line graph, Cartesian product, sum, disjunction and symmetric difference of graphs. Also, we present an infinite family of non-vertex-transitive self-centered graphs and we prove that all such graphs are 2-connected. Further, for any D and k where \(k \le \frac{D-1}{2}\) , we construct an infinite family of non-vertex-transitive graphs with eccentric complexity k and diameter D. Extremal graphs with minimum or maximum total eccentricity among all graphs with given eccentric complexity are determined. We also consider a family of nanotubes and show that it is extremal with respect to the eccentric complexity among all fullerene graphs. At the end we also indicate some possible directions of further research.
      PubDate: 2017-11-09
      DOI: 10.1007/s40840-017-0564-y
  • Multiplication Operator on Köthe Spaces: Measure of Non-compactness
           and Closed Range
    • Authors: René Erlin Castillo; Humberto Rafeiro; Julio C. Ramos-Fernández; Margot Salas-Brown
      Abstract: We calculate the measure of non-compactness of the multiplication operator \(M_u\) acting on non-atomic Köthe spaces. We show that all bounded below multiplication operators acting on Köthe spaces are surjective and therefore bijective and we give some new characterizations about closedness of the range of \(M_u\) acting on Köthe spaces.
      PubDate: 2017-11-09
      DOI: 10.1007/s40840-017-0562-0
  • New Classes of p -Ary Few Weight Codes
    • Authors: Minjia Shi; Rongsheng Wu; Liqin Qian; Lin Sok; Patrick Solé
      Abstract: In this paper, several classes of three-weight codes and two-weight codes for the homogeneous metric over the chain ring \(R=\mathbb {F}_p+u\mathbb {F}_p+\cdots +u^{k-1}\mathbb {F}_{p},\) with \(u^k=0,\) are constructed that generalize the construction of Shi et al. (IEEE Commun. Lett. 20(12):2346–2349, 2016), which is the special case of \(p=k=2.\) These codes are defined as trace codes. In some cases of their defining sets, they are abelian. Their homogeneous weight distributions are computed by using exponential sums. In particular, in the two-weight case, we give some conditions of optimality of their Gray images by using the Griesmer bound. Their dual homogeneous distance is also given. The codewords of these codes are shown to be minimal for inclusion of supports, a fact favorable to an application to secret sharing schemes.
      PubDate: 2017-10-28
      DOI: 10.1007/s40840-017-0553-1
  • Some Fixed-Circle Theorems on Metric Spaces
    • Authors: Nihal Yilmaz Özgür; Nihal Taş
      Abstract: The fixed-point theory and its applications to various areas of science are well known. In this paper, we present some existence and uniqueness theorems for fixed circles of self-mappings on metric spaces with geometric interpretation. We verify our results by illustrative examples.
      PubDate: 2017-10-28
      DOI: 10.1007/s40840-017-0555-z
  • On Flux-Difference Residual Distribution Methods
    • Authors: Farzad Ismail; Wei Shyang Chang; Hossain Chizari
      Abstract: In this paper, the properties of the newly developed flux-difference residual distribution methods will be analyzed. The focus would be on the order-of-accuracy and stability variations with respect to changes in grid skewness. Overall, the accuracy loss and the stability range of the new methods are comparable with the existing residual distribution methods. It will also be shown that new method has a general mathematical formulation which can easily recover the existing residual distribution methods.
      PubDate: 2017-10-26
      DOI: 10.1007/s40840-017-0559-8
  • Unique Solutions for Fractional q -Difference Boundary Value Problems Via
           a Fixed Point Method
    • Authors: Jing Ren; Chengbo Zhai
      Abstract: In this paper, by applying the cone theory in ordered Banach spaces associated with the characters of increasing \(\varphi -(h,e)\) -concave operators, we investigate the existence and uniqueness of nontrivial solutions for a nonlinear fractional q-difference equation boundary value problem. The main results show that we can construct an iterative scheme approximating the unique nontrivial solution. Relying on an example, we show the efficiency and applicability of the main result.
      PubDate: 2017-10-26
      DOI: 10.1007/s40840-017-0560-2
  • On Resonant Robin Problems with General Potential
    • Authors: Nikiforos Mimikos-Stamatopoulos; Nikolaos S. Papageorgiou
      Abstract: We consider a semilinear Robin problem with indefinite and unbounded potential and a reaction term which asymptotically at \(\pm \,\infty \) is resonant with respect to any nonprincipal, nonnegative eigenvalue of the differential operator. Using critical point theory, Morse theory (critical groups) and the reduction method, we show that the problem has at least three nontrivial solutions.
      PubDate: 2017-10-26
      DOI: 10.1007/s40840-017-0561-1
  • Directional Convexity of Harmonic Mappings
    • Authors: Subzar Beig; V. Ravichandran
      Abstract: The convolution properties are discussed for the complex-valued harmonic functions on the unit disk \(\mathbb {D}\) constructed from the harmonic shearing of the analytic function \(\phi (z):=\int _0^z (1-2\xi \textit{e}^{\textit{i}\mu }\cos \nu +\xi ^2\textit{e}^{2\textit{i}\mu })^{-1}{} \textit{d}\xi \) , where \(\mu \) and \(\nu \) are real numbers. For any real number \(\alpha \) and a harmonic function \(f=h+\overline{g}\) , define an analytic function \(f_{\alpha }\) by \(f_{\alpha }:=h+\textit{e}^{-2\textit{i}\alpha }g\) . Let \(\mu _1\) and \(\mu _2\) \((\mu _1+\mu _2=\mu )\) be real numbers, and \(f=h+\overline{g}\) and \(F=H+\overline{G}\) be locally univalent and sense-preserving harmonic functions such that \(f_{\mu _1}*F_{\mu _2}=\phi \) . It is shown that the convolution \(f*F\) is univalent and convex in the direction of \(-\,\mu \) , provided it is locally univalent and sense-preserving. Also, local univalence of the above convolution \(f*F\) is shown when f and F have specific analytic dilatations. Furthermore, if \(g\equiv 0\) and both the analytic functions \(f_{\mu _1}\) and \(F_{\mu _2}\) are convex, then the convolution \(f*F\) is shown to be convex. These results extend the work of Dorff et al. (Complex Var Elliptic Equ 57(5):489–503, 2012) to a larger class of functions.
      PubDate: 2017-10-22
      DOI: 10.1007/s40840-017-0552-2
  • Numerical Conformal Mapping onto the Parabolic, Elliptic and Hyperbolic
           Slit Domains
    • Authors: Mohamed M. S. Nasser
      Abstract: This paper presents a numerical method for computing the conformal mappings onto the parabolic slit domain, the elliptic slit domain and the hyperbolic slit domain. The method relies on a boundary integral equation with the generalized Neumann kernel. For a given multiply connected domain of connectivity \(m+1\) , the proposed method requires \(O((m+1)n\log n)\) operations where n is the number of nodes in the discretization of each boundary component of the given domain. Several numerical examples are presented to illustrate the performance of the proposed method.
      PubDate: 2017-10-22
      DOI: 10.1007/s40840-017-0558-9
  • On Non-degenerate Null Normal Sections of Codimension Two Spacelike
    • Authors: Daniel de la Fuente; Francisco J. Palomo; Alfonso Romero
      Abstract: In this paper, we develop a formula for spacelike surfaces in a four-dimensional Lorentzian space form which involves its mean curvature vector field, the Gauss curvature of the induced metric and the Gauss curvature of the second fundamental form associated to a non-degenerate null normal section. By means of this formula, we establish several sufficient conditions for a compact spacelike surface in a four-dimensional Lorentzian space form which has a null umbilical normal direction. As another application, we give a new proof of Liebmann rigidity theorems in Euclidean, hemispherical, hyperbolic spaces and in the De Sitter spacetime.
      PubDate: 2017-10-20
      DOI: 10.1007/s40840-017-0557-x
  • Biharmonic Submanifolds with Parallel Normalized Mean Curvature Vector
           Field in Pseudo-Riemannian Space Forms
    • Authors: Li Du; Juan Zhang
      Abstract: In this paper, we investigate biharmonic submanifolds with parallel normalized mean curvature vector field in pseudo-Riemannian space forms and classify completely such pseudo-umbilical submanifolds. Also, we prove that such submanifolds have parallel mean curvature vector field under the assumption that they have diagonalizable shape operator with at most two distinct principal curvatures in the direction of the mean curvature vector field, and apply it to obtain a partial classification result.
      PubDate: 2017-10-17
      DOI: 10.1007/s40840-017-0556-y
  • Multilinear Commutators of Singular Integral Operators in Variable
           Exponent Herz-Type Spaces
    • Authors: Liwei Wang; Lisheng Shu
      Abstract: In this paper, we study the boundedness of multilinear commutators of Hardy–Littlewood maximal operators in variable exponent Herz and Herz–Morrey spaces, which in turn are used to obtain the boundedness for a large class of the multilinear commutators related to sublinear operators. Moreover, based on the atomic decomposition and on generalization of the BMO norm, we study the boundedness of multilinear commutators of singular integral operators with Calderón–Zygmund kernels in variable exponent Herz-type Hardy spaces.
      PubDate: 2017-10-09
      DOI: 10.1007/s40840-017-0554-0
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