On the continuity of solutions of the nonhomogeneous evolution \(p(x, t)\)-Laplace equation

DOI10.1016/j.na.2017.11.002zbMath1375.35263OpenAlexW2768724770WikidataQ59227291 ScholiaQ59227291MaRDI QIDQ1683051

Sergey Shmarev

Publication date: 6 December 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.11.002

zbMATH Keywords

nonlinear parabolic equationvariable nonlinearityLipschitz-continuity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Singular parabolic equations (35K67)

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Global higher regularity of solutions to singular \(p(x,t)\)-parabolic equations ⋮ On quasilinear anisotropic parabolic equations with time-dependent exponents ⋮ Strong solutions of evolution equations with \(p(x,t)\)-Laplacian: existence, global higher integrability of the gradients and second-order regularity ⋮ Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity ⋮ Unnamed Item ⋮ Existence results for anisotropic quasilinear parabolic equations with time-dependent exponents and gradient term

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