Solutions to the nonlinear obstacle problem with compact contact sets

DOI10.1016/J.JFA.2024.110589zbMATH Open1546.35066MaRDI QIDQ6592084

Simon Eberle, H. Yu

Publication date: 24 August 2024

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

free boundary problemsfully nonlinear elliptic equationsclassification of global solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35)

Cites Work

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• Null quadrature domains
• On quadrature domains and the Schwarz potential
• The obstacle problem revisited
• Newtonian potential theory for unbounded sources and applications to free boundary problems
• Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian
• On the fine regularity of the singular set in the nonlinear obstacle problem
• A Bernstein problem for special Lagrangian equations in exterior domains
• Regularity theory for elliptic PDE
• Regularity of the singular set in the fully nonlinear obstacle problem
• REGULARITY OF THE FREE BOUNDARY FOR SOME ELLIPTIC AND PARABOLIC PROBLEMS. I
• Regularity of free boundaries in obstacle-type problems
• Attraction des ellipsoïdes homogènes et réciproques d'un théorème de Newton
• Characterizing compact coincidence sets in the obstacle problem—a short proof
• On global solutions of the obstacle problem
• Compact contact sets of sub-quadratic solutions to the thin obstacle problem

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