A pointwise estimate of the solution to the \(p\)-Laplace evolution equation

DOI10.1016/j.na.2009.10.038zbMath1185.35124OpenAlexW2050817053MaRDI QIDQ844977

Igor I. Skrypnik, Leonid S. Pankratov, Yuliya V. Namlyeyeva

Publication date: 5 February 2010

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.2009.10.038

zbMATH Keywords

pointwise estimates\(p\)-Laplace evolution equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45)

Cites Work

• Degenerate parabolic equations
• Homogenization of a class of nonlinear elliptic equations with nonstandard growth
• Homogenization of \(p\)-Laplacian in perforated domain
• Asymptotic behavior of solutions to quasi-linear parabolic problems in perforated domains
• Local behavior of solutions to quasilinear parabolic equations with absorption
• \(\varGamma \)-convergence and homogenization of functionals in Sobolev spaces with variable exponents
• Isolated Singularities of Solutions of Quasilinear Anisotropic Elliptic Equations
• The local regularity of solutions of degenerate elliptic equations
• A NECESSARY CONDITION FOR REGULARITY OF A BOUNDARY POINT FOR A QUASILINEAR PARABOLIC EQUATION
• Removability of isolated singularities of solutions of quasilinear parabolic equations with absorption
• A harnack inequality for parabolic differential equations
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