\(C^{\infty}\) partial regularity of the singular set in the obstacle problem

DOI10.2140/APDE.2025.18.199MaRDI QIDQ6657473

Wiktoria Zatoń, Federico Franceschini

Publication date: 6 January 2025

Published in: Analysis \& PDE (Search for Journal in Brave)

zbMATH Keywords

obstacle problemsingular sethigher-regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Unilateral problems for linear elliptic equations and variational inequalities with linear elliptic operators (35J86)

Cites Work

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• Free boundary regularity for almost every solution to the Signorini problem
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• Regularity of the singular set in the fully nonlinear obstacle problem
• The structure of the free boundary for lower dimensional obstacle problems
• Volume Estimates on the Critical Sets of Solutions to Elliptic PDEs
• The singular set in the Stefan problem

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