On global solutions of the obstacle problem
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Publication:6177381
DOI10.1215/00127094-2022-0078zbMath1522.35600arXiv2005.04915OpenAlexW4382563637MaRDI QIDQ6177381
Simon Eberle, Georg Sebastian Weiss, Henrik Shahgholian
Publication date: 31 August 2023
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.04915
Free boundary problems for PDEs (35R35) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)
Related Items (2)
Graphical solutions to one-phase free boundary problems ⋮ The structure of the regular part of the free boundary close to singularities in the obstacle problem
Cites Work
- Generic regularity of free boundaries for the obstacle problem
- Null quadrature domains
- On quadrature domains and the Schwarz potential
- The regularity of free boundaries in higher dimensions
- The obstacle problem revisited
- Newtonian potential theory for unbounded sources and applications to free boundary problems
- On the number of singularities for the obstacle problem in two dimensions
- Elliptic partial differential equations of second order
- On the fine structure of the free boundary for the classical obstacle problem
- A homogeneity improvement approach to the obstacle problem
- Regularity of a free boundary with application to the Pompeiu problem
- A logarithmic epiperimetric inequality for the obstacle problem
- Generalized Newton potential and its applications
- Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture
- Regularity of the singular set in the fully nonlinear obstacle problem
- Variational problems with two phases and their free boundaries
- Attraction des ellipsoïdes homogènes et réciproques d'un théorème de Newton
- Null quadrature domains and a free boundary problem for the Laplacian
- Characterizing compact coincidence sets in the obstacle problem—a short proof
- Solutions to the Eshelby conjectures
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