The stability of evolutionary \(p(x)\)-Laplacian equation

DOI10.1186/S13661-016-0742-0zbMath1365.35064OpenAlexW2579221719WikidataQ59526949 ScholiaQ59526949MaRDI QIDQ518350

Hua-Shui Zhan

Publication date: 28 March 2017

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

Full work available at URL: https://doi.org/10.1186/s13661-016-0742-0

zbMATH Keywords

well-posednessboundary degeneracyelectrorheological fluid equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Free boundary problems for PDEs (35R35) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (7)

The stability of parabolic problems with nonstandard \(p(x,t)\)-growth ⋮ The stability of the anisotropic parabolic equation with the variable exponent ⋮ Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions ⋮ The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition ⋮ Existence of positive solutions and asymptotic behavior for evolutionary \(q(x)\)-Laplacian equations ⋮ Solutions of evolutionary \(p(x)\)-Laplacian equation based on the weighted variable exponent space ⋮ On an anisotropic parabolic equation on the domain with a disjoint boundary

Cites Work

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• Electrorheological fluids: modeling and mathematical theory
• Regularity results for stationary electro-rheological fluids
• Properties of the boundary flux of a singular diffusion process
• Anisotropic parabolic equations with variable nonlinearity
• The solutions of a hyperbolic-parabolic mixed type equation on half-space domain
• Evolutionary weighted \(p\)-Laplacian with boundary degeneracy
• On the density of smooth functions in Sobolev-Orlicz spaces
• On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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