Elliptic obstacle problems with measure data: potentials and low order regularity

DOI10.5565/PUBLMAT_56212_04zbMath1295.35373OpenAlexW2115302219MaRDI QIDQ2248221

Christoph Scheven

Publication date: 30 June 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1340127809

zbMATH Keywords

\(p\)-Laplacianregularity of solutionsmeasure data problemselliptic obstacle problemsnon-linear potential theory

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Connections of harmonic functions with differential equations in higher dimensions (31B35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) PDEs with measure (35R06)

Related Items (16)

The Wolff potential estimate for solutions to elliptic equations with signed data ⋮ Regularity estimates for singular parabolic measure data problems with sharp growth ⋮ Potential estimates for elliptic measure data problems with irregular obstacles ⋮ Fractional differentiability for elliptic double obstacle problems with measure data ⋮ Calderón–Zygmund type estimates for singular quasilinear elliptic obstacle problems with measure data ⋮ Calderón-Zygmund estimates for quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth ⋮ Nonlinear measure data problems ⋮ Irregular double obstacle problems with Orlicz growth ⋮ Gradient potential estimates for elliptic obstacle problems ⋮ Nonlinear gradient estimates for elliptic double obstacle problems with measure data ⋮ Gradient estimates for nonlinear elliptic double obstacle problems ⋮ Gradient potential estimates in non-linear elliptic obstacle problems with measure data ⋮ Nonlinear gradient estimates for double phase elliptic problems with irregular double obstacles ⋮ Unnamed Item ⋮ Mixed local and nonlocal equations with measure data ⋮ Gradient potential estimates in elliptic obstacle problems with Orlicz growth

Cites Work

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