Regularity of weak supersolutions to elliptic and parabolic equations: lower semicontinuity and pointwise behavior

DOI10.1016/j.matpur.2021.01.008zbMath1464.35050arXiv2011.03944OpenAlexW3120646987MaRDI QIDQ2656182

Naian Liao

Publication date: 10 March 2021

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.03944

zbMATH Keywords

lower semicontinuitysupersolutionsdegenerate and singular parabolic equationsexpansion of positivitypointwise behaviorDe Giorgi type lemma

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate parabolic equations (35K65) Degenerate elliptic equations (35J70) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear elliptic equations with (p)-Laplacian (35J92) Quasilinear parabolic equations (35K59)

Related Items (10)

On the regularity theory for mixed local and nonlocal quasilinear elliptic equations ⋮ Liouville rigidity and time-extrinsic Harnack estimates for an anisotropic slow diffusion ⋮ Regularity of weak solutions for mixed local and nonlocal double phase parabolic equations ⋮ Expansion of positivity for doubly nonlinear parabolic equations and its application ⋮ Local properties of fractional parabolic De Giorgi classes of order \(s, p\) ⋮ Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic p-Laplace equations ⋮ Harnack inequality for mixed local and nonlocal parabolic \(p\)-Laplace equations ⋮ On the Hölder regularity of signed solutions to a doubly nonlinear equation. II ⋮ Continuity up to the boundary for obstacle problems to porous medium type equations ⋮ A comparison principle for doubly nonlinear parabolic partial differential equations

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