Solutions of evolutionary \(p(x)\)-Laplacian equation based on the weighted variable exponent space

DOI10.1007/s00033-017-0885-6zbMath1398.35134OpenAlexW2766273678MaRDI QIDQ680171

Zhao-sheng Feng, Hua-Shui Zhan

Publication date: 22 January 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0885-6

zbMATH Keywords

stabilityweak solution\(p\)-Laplacian equationboundary degeneracyweighted variable exponent space

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92)

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Cites Work

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• Existence of solutions to an initial Dirichlet problem of evolutional \(p(x)\)-Laplace equations
• The stability of evolutionary \(p(x)\)-Laplacian equation
• Parabolic equations with double variable nonlinearities
• On degenerate \(p(x)\)-Laplace equations involving critical growth with two parameters
• Electrorheological fluids: modeling and mathematical theory
• Regularity results for stationary electro-rheological fluids
• Anisotropic parabolic equations with variable nonlinearity
• The solutions of a hyperbolic-parabolic mixed type equation on half-space domain
• On the density of smooth functions in Sobolev-Orlicz spaces
• Weighted Sobolev Spaces and Degenerate Elliptic Equations
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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