Existence of solutions for the evolution \(p(x)\)-Laplacian equation not in divergence form

DOI10.1155/2012/835495zbMath1237.35029DBLPjournals/jam/LiuGL12OpenAlexW1977196135WikidataQ58907440 ScholiaQ58907440MaRDI QIDQ411104

Junchao Gao, Song Zhe Lian, Chein-Shan Liu

Publication date: 4 April 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/835495

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• Existence of solutions for a class of variable exponent integrodifferential system boundary value problems
• Extinction and positivity of the solutions for a \(p\)-Laplacian equation with absorption on graphs
• Global \(C^{1,\alpha}\) regularity for variable exponent elliptic equations in divergence form
• Vanishing solutions of anisotropic parabolic equations with variable nonlinearity
• A degenerate diffusion problem not in divergence form
• Regularity results for parabolic systems related to a class of non-Newtonian fluids.
• Electrorheological fluids: modeling and mathematical theory
• Some results on a class of degenerate parabolic equations not in divergence form
• Regularity results for stationary electro-rheological fluids
• Existence of solutions for \(p(x)\)-Laplacian Dirichlet problem.
• Anisotropic parabolic equations with variable nonlinearity
• Higher integrability for parabolic equations of \(p(x,t)\)-Laplacian type
• ON PASSAGE TO THE LIMIT IN NONLINEAR VARIATIONAL PROBLEMS
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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