Multiple solutions for a class of problems involving the p(x)-Laplacian operator

DOI10.1080/00036811.2021.1892081zbMath1498.35318OpenAlexW3134410737MaRDI QIDQ5867322

Leandro S. Tavares, Karla Carolina V. de Sousa

Publication date: 14 September 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2021.1892081

zbMATH Keywords

existence\(p(x)\)-Laplacian

Mathematics Subject Classification ID

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

Related Items (5)

Existence of solutions for a quasilinear problem with fast nonlocal terms ⋮ Solutions for a nonlocal elliptic system with general growth ⋮ Multiplicity results for a system involving the p(x)- Laplacian operator ⋮ Solutions for a nonhomogeneous p&q-Laplacian problem via variational methods and sub-supersolution technique ⋮ Solutions of the mean curvature equation with the Nehari manifold

Cites Work

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• On the sub-supersolution method for \(p(x)\)-Laplacian equations
• Regularity results for stationary electro-rheological fluids
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Dual variational methods in critical point theory and applications
• Regularity for minimizers for functionals of double phase with variable exponents
• Notes on the Stationary p-Laplace Equation
• PARTIAL REGULARITY OF THE MINIMIZERS OF QUADRATIC FUNCTIONALS WITH VMO COEFFICIENTS
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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