On some elliptic equation involving the \(p(x)\)-Laplacian in \(\mathbb{R}^N\) with a possibly discontinuous nonlinearities

DOI10.1007/s40840-020-01010-wzbMath1465.35252OpenAlexW3085451178MaRDI QIDQ2021590

Ala Eddine Bahrouni, Sami Aouaoui

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-01010-w

zbMATH Keywords

existence of solutionsuniqueness of solutions\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

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• On a class of nonhomogeneous fractional quasilinear equations in \(\mathbb R^n\) with exponential growth
• Lebesgue and Sobolev spaces with variable exponents
• Orlicz spaces and modular spaces
• Existence results for a Neumann problem involving the \(p(x)\)-Laplacian with discontinuous nonlinearities
• Electrorheological fluids: modeling and mathematical theory
• Existence result for some elliptic quasilinear equation involving the \(N\)-Laplacian in \( \mathbb {R}^N \) with a large class of nonlinearities
• On some polyharmonic elliptic equation with discontinuous and increasing nonlinearities
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• A method to solve discontinuous boundary value problems.
• Nonlinear elliptic partial differential equations
• Regularity for minimizers for functionals of double phase with variable exponents
• On a class of quasilinear elliptic problems involving Trudinger-Moser nonlinearities
• Elliptic problems with lack of compactness via a new fixed point theorem
• Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
• Quasilinear elliptic problems with critical exponents and discontinuous nonlinearities
• Discontinuous elliptic problems involving the p(x)‐Laplacian
• AVERAGING OF FUNCTIONALS OF THE CALCULUS OF VARIATIONS AND ELASTICITY THEORY
• Sobolev embeddings with variable exponent
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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