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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 2: Nonsmooth Variational Problems
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Original Articles

Existence and multiplicity of solutions for an anisotropic elliptic problem involving variable exponent growth conditions

Mihai Mihăilescu Department of Mathematics, Central European University, 1051 Budapest, Hungary; Department of Mathematics, University of Craiova, 200585 Craiova, Romania
&
Gheorghe Moroşanu Department of Mathematics, Central European University, 1051 Budapest, HungaryCorrespondence[email protected]
Pages 257-271 | Received 16 Jun 2008, Accepted 23 Oct 2008, Published online: 20 Apr 2009

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Hocine Ayadi & Fares Mokhtari. (2020) Entropy solutions for nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity. Complex Variables and Elliptic Equations 65:5, pages 717-739.
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Maria-Magdalena Boureanu, Patrizia Pucci & Vicenţiu D. Rădulescu. (2011) Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent. Complex Variables and Elliptic Equations 56:7-9, pages 755-767.
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Xianling Fan. (2011) Anisotropic variable exponent Sobolev spaces and -Laplacian equations. Complex Variables and Elliptic Equations 56:7-9, pages 623-642.
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Articles from other publishers (19)

El Amrouss Abdelrachid & Ali El Mahraoui. (2022) Existence and multiplicity of solutions for anisotropic elliptic equation. Boletim da Sociedade Paranaense de Matemática 40, pages 1-12.
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Ahmed Ahmed & Mohamed Saad Bouh Elemine Vall. (2020) Three weak solutions for a Neumann elliptic equations involving the p→(x) \vec p\left( x \right) -Laplacian operator. Nonautonomous Dynamical Systems 7:1, pages 224-236.
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Vasile Uta. (2020) On the existence and multiplicity of eigenvalues for a class of double-phase non-autonomous problems with variable exponent growth. Electronic Journal of Qualitative Theory of Differential Equations:28, pages 1-22.
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Said Taarabti, Zakaria El Allali & Khalil Ben Haddouch. On an eigenvalue problem for an anisotropic elliptic equation. On an eigenvalue problem for an anisotropic elliptic equation.
A. Ahmed, M.S.B. Elemine Vall & A. Touzani. (2017) Infinitely Many Solutions of the Neumann Problem for Elliptic systems in Anisotropic Variable Exponent Sobolev Spaces. Moroccan Journal of Pure and Applied Analysis 3:1, pages 70-82.
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G. A. Afrouzi, M. Mirzapour & Vicenţiu D. Rădulescu. (2015) Qualitative Analysis of Solutions for a Class of Anisotropic Elliptic Equations with Variable Exponent. Proceedings of the Edinburgh Mathematical Society 59:3, pages 541-557.
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Mei Yu, Li Wang & Sufang Tang. (2015) Existence of solutions for an anisotropic elliptic problem with variable exponent and singularity. Mathematical Methods in the Applied Sciences 39:10, pages 2761-2767.
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Maria-Magdalena Boureanu & Cristian Udrea. (2015) No--flux boundary value problems with anisotropic variable exponents. Communications on Pure and Applied Analysis 14:3, pages 881-896.
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Nguyen Thanh Chung & Hoang Quoc Toan. (2014) On a class of anisotropic elliptic equations without Ambrosetti–Rabinowitz type conditions. Nonlinear Analysis: Real World Applications 16, pages 132-145.
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Nguyen Thanh Chung. (2014) ON SOME p(x)-KIRCHHOFF TYPE EQUATIONS WITH WEIGHTS. Journal of applied mathematics & informatics 32:1_2, pages 113-128.
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Nicuşor Costea & Gheorghe Moroşanu. (2012) A Multiplicity Result for an Elliptic Anisotropic Differential Inclusion Involving Variable Exponents. Set-Valued and Variational Analysis 21:2, pages 311-332.
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Mihai Mihailescu & Denisa Stancu-Dumitru. (2012) ANISOTROPIC QUASILINEAR ELLIPTIC EQUATIONS WITH VARIABLE EXPONENT. Journal of the Korean Mathematical Society 49:6, pages 1123-1138.
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Maria-Magdalena Boureanu & Vicenţiu D. Rădulescu. (2012) Anisotropic Neumann problems in Sobolev spaces with variable exponent. Nonlinear Analysis: Theory, Methods & Applications 75:12, pages 4471-4482.
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Denisa Stancu-Dumitru. (2012) TWO NONTRIVIAL SOLUTIONS FOR A CLASS OF ANISOTROPIC VARIABLE EXPONENT PROBLEMS. Taiwanese Journal of Mathematics 16:4.
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M. Manuela Rodrigues. (2011) Multiplicity of Solutions on a Nonlinear Eigenvalue Problem for p(x)-Laplacian-like Operators. Mediterranean Journal of Mathematics 9:1, pages 211-223.
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Maria-Magdalena Boureanu. (2011) INFINITELY MANY SOLUTIONS FOR A CLASS OF DEGENERATE ANISOTROPIC ELLIPTIC PROBLEMS WITH VARIABLE EXPONENT. Taiwanese Journal of Mathematics 15:5.
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Xianling Fan. (2010) On nonlocal -Laplacian equations. Nonlinear Analysis: Theory, Methods & Applications 73:10, pages 3364-3375.
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Xianling Fan. (2010) Local boundedness of quasi-minimizers of integral functionals with variable exponent anisotropic growth and applications. Nonlinear Differential Equations and Applications NoDEA 17:5, pages 619-637.
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MIHAI MIHĂILESCU & GHEORGHE MOROŞANU. (2010) ON AN EIGENVALUE PROBLEM FOR AN ANISOTROPIC ELLIPTIC EQUATION INVOLVING VARIABLE EXPONENTS. Glasgow Mathematical Journal 52:3, pages 517-527.
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