Regularity of the singular set in the fully nonlinear obstacle problem

DOI10.4171/JEMS/1182MaRDI QIDQ2693150

Hui Yu, Ovidiu V. Savin

Publication date: 17 March 2023

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02308

zbMATH Keywords

obstacle problemsfully nonlinear elliptic equationsfree boundary regularitystratification of the singular set

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items

Contact points with integer frequencies in the thin obstacle problem ⋮ The structure of the regular part of the free boundary close to singularities in the obstacle problem ⋮ On global solutions of the obstacle problem ⋮ Free boundary regularity in the triple membrane problem

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