Besov regularity of solutions to the \(p\)-Poisson equation in the vicinity of a vertex of a polygonal domain

DOI10.1007/s00025-018-0805-xzbMath1387.35043OpenAlexW2792757029MaRDI QIDQ1743256

Christoph Hartmann, Markus Weimar

Publication date: 13 April 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0805-x

zbMATH Keywords

Besov spacesregularity of solutions\(p\)-Poisson equationnonlinear and adaptive approximation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (11)

Regularity estimates for the parabolic \(p (x, t)\)-Laplacian equation in Besov spaces ⋮ Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type ⋮ Rate-optimal sparse approximation of compact break-of-scale embeddings ⋮ Besov estimates for weak solutions of a class of quasilinear parabolic equations with general growth ⋮ On the lack of interior regularity of the p‐Poisson problem with p>2 ⋮ Besov estimates for weak solutions of the parabolic \(p\)-Laplacian equations ⋮ Besov regularity estimates for the elliptic \(p(x)\)-Laplacian equation with the logarithmic growth ⋮ On the limit regularity in Sobolev and Besov scales related to approximation theory ⋮ Higher Order Regularity Shifts for the p-Poisson Problem ⋮ Higher order Calderón-Zygmund estimates for the \(p\)-Laplace equation ⋮ Besov estimates for the weak solutions of a class of quasilinear elliptic equations

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