Sharp regularity for evolutionary obstacle problems, interpolative geometries and removable sets

DOI10.1016/j.matpur.2013.03.004zbMath1322.35091OpenAlexW1974984165WikidataQ58880751 ScholiaQ58880751MaRDI QIDQ395255

Kaj Nyström, Tuomo Kuusi, Giuseppe Mingione

Publication date: 29 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.matpur.2013.03.004

zbMATH Keywords

regularityblow-upobstacle problemdegenerate operators

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (10)

Obstacle problem for a class of parabolic equations of generalized \(p\)-Laplacian type ⋮ Regularity results for nonlinear parabolic obstacle problems with subquadratic growth ⋮ A boundary Harnack inequality for singular equations of 𝑝-parabolic type ⋮ Square function estimates for the evolutionary \(p\)-Laplace equation ⋮ Lewy-Stampacchia inequality for noncoercive parabolic obstacle problems ⋮ Calderón-Zygmund estimates for quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth ⋮ A quantitative modulus of continuity for the two-phase Stefan problem ⋮ An intrinsic Liouville theorem for degenerate parabolic equations ⋮ Optimal regularity for the obstacle problem for the \(p\)-Laplacian ⋮ Hölder estimates for parabolic obstacle problems

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