Some existence results for a class of Dirichlet problems with variable exponents

In this paper, we study the existence and multiplicity of weak solutions of the p ( x ) -Laplacian problems that are subject to Dirichlet boundary conditions, employing variational techniques as our primary analytical framework.

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Bibliographic Details
Published inBoundary value problems Vol. 2024; no. 1; pp. 124 - 15
Main Authors Razani, Abdolrahman, Musbah, Zahirulhaq, Safari, Farzaneh, Sevim, Esra Sengelen
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.10.2024
Hindawi Limited
SpringerOpen
Subjects
Analysis
Approximations and Expansions
Banach spaces
Boundary conditions
Boundary value problems
Critical point theory
Difference and Functional Equations
Dirichlet boundary condition
Dirichlet problem
Local and NonLocal Boundary value Problems
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Variable exponent
Variational methods
Weak solution
Critical point theory
Weak solution
Variational methods
35J60
35G30
Dirichlet boundary condition
35J35
Variable exponent
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ISSN1687-2770
1687-2762
1687-2770
DOI10.1186/s13661-024-01940-5

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Summary:In this paper, we study the existence and multiplicity of weak solutions of the p ( x ) -Laplacian problems that are subject to Dirichlet boundary conditions, employing variational techniques as our primary analytical framework.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-024-01940-5