Multiple solutions for quasilinear elliptic systems involving variable exponents
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Publication:6099590
DOI10.1016/j.nonrwa.2022.103829zbMath1518.35408arXiv2112.13871OpenAlexW4313529251MaRDI QIDQ6099590
Jean Velin, Abdelkrim Moussaoui
Publication date: 20 June 2023
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.13871
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
- Unnamed Item
- Lebesgue and Sobolev spaces with variable exponents
- Multiple solutions for nonvariational quasilinear elliptic systems
- Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
- Existence and a priori estimates of solutions for quasilinear singular elliptic systems with variable exponents
- Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem
- Regularity results for stationary electro-rheological fluids
- Existence and boundedness of solutions for systems of quasilinear elliptic equations
- An existence result for a class of quasilinear singular competitive elliptic systems
- Existence of positive solutions for a class of \(p(x)\)-Laplacian systems
- An elliptic system with logarithmic nonlinearity
- A quasilinear singular elliptic system without cooperative structure
- Multiple positive solutions for a class of quasilinear singular elliptic systems
- Positive solutions for infinite semipositone/positone quasilinear elliptic systems with singular and superlinear terms
- Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
- On the first eigenvalue for a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>p</mml:mi> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> <mml:mo>,</mml:mo> <mml:mi>q</mml:mi> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:math>-Laplacian elliptic system
- Existence and regularity of solutions for a class of singular (p(x), q(x))-Laplacian systems
- Existence and boundedness of solutions for a singular cooperative quasilinear elliptic system
- Variable Exponent, Linear Growth Functionals in Image Restoration
- An Integral Inequality
- Singular Quasilinear Elliptic Systems with (super-) Homogeneous Condition
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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