Singular quasilinear convective systems involving variable exponents

DOI10.7494/opmath.2024.44.1.105zbMath1529.35205arXiv2207.02481MaRDI QIDQ6091087

Unnamed Author, Abdelkrim Moussaoui, Jean Velin

Publication date: 23 November 2023

Published in: Opuscula Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.02481

zbMATH Keywords

existenceelliptic systemDirichlet condition\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations with (p)-Laplacian (35J92) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

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• Lebesgue and Sobolev spaces with variable exponents
• Existence and multiplicity of positive solutions for singular quasilinear problems
• Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
• Global bifurcation for a class of degenerate elliptic equations with variable exponents
• Singular boundary value problems for the \(p\)-Laplacian
• On generalized Orlicz-Sobolev space
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• A quasilinear problem with fast growing gradient
• Singular quasilinear convective elliptic systems in \(\mathbb{R}^N\)
• Singular quasilinear elliptic systems with gradient dependence
• Singular quasilinear elliptic systems involving gradient terms
• Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions
• A strong maximum principle for some quasilinear elliptic equations
• Global gradient estimates in elliptic problems under minimal data and domain regularity
• An elliptic system with logarithmic nonlinearity
• On a Singular Nonlinear Elliptic Boundary-Value Problem
• On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence
• Existence of solutions for a class of singular elliptic systems with convection term
• Existence and regularity of solutions for a class of singular (p(x), q(x))-Laplacian systems
• An Integral Inequality
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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