Characterizing compact coincidence sets in the obstacle problem—a short proof

DOI10.1090/spmj/1665zbMath1471.35341arXiv2005.10490OpenAlexW3179034717MaRDI QIDQ5009096

Simon Eberle, Georg Sebastian Weiss

Publication date: 19 August 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10490

zbMATH Keywords

free boundaryHele-Shaw flowcoincidence setnull quadrature domains

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Related Items (2)

On global solutions of the obstacle problem ⋮ Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian

Cites Work

• Null quadrature domains
• Newtonian potential theory for unbounded sources and applications to free boundary problems
• On the number of singularities for the obstacle problem in two dimensions
• Regularity of a free boundary with application to the Pompeiu problem
• Attraction des ellipsoïdes homogènes et réciproques d'un théorème de Newton
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Characterizing compact coincidence sets in the obstacle problem—a short proof