Nonlinear boundary value problems of a class of elliptic equations involving critical variable exponents

DOI10.1186/S13661-019-1231-ZOpenAlexW2960188645MaRDI QIDQ2108342

Yingying Shan, Yongqiang Fu

Publication date: 19 December 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-019-1231-z

zbMATH Keywords

weak solutionmountain pass theoremvariational methodFountain theoremvariable exponent Sobolev space

Mathematics Subject Classification ID

Linear function spaces and their duals (46Exx) Elliptic equations and elliptic systems (35Jxx) Generalized solutions to partial differential equations (35Dxx)

Cites Work

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• Fractional Kirchhoff problems with critical Trudinger-Moser nonlinearity
• On a sub-supersolution method for variational inequalities with Leray-Lions operators in variable exponent spaces
• The principle of concentration compactness in \(L^{p(x)}\) spaces and its application
• Electrorheological fluids: modeling and mathematical theory
• Existence of solutions for a critical fractional Kirchhoff type problem in \(\mathbb{R}^N\)
• Regularity results for stationary electro-rheological fluids
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• Boundary trace embedding theorems for variable exponent Sobolev spaces
• Existence of solutions for \(p(x)\)-Laplacian problems on a bounded domain
• Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
• Combined effects for fractional Schrödinger–Kirchhoff systems with critical nonlinearities
• A critical fractional Choquard–Kirchhoff problem with magnetic field
• Variable Exponent, Linear Growth Functionals in Image Restoration
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
• Existence results for the \(p\)-Laplacian with nonlinear boundary conditions

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