On the fine regularity of the singular set in the nonlinear obstacle problem

DOI10.1016/j.na.2021.112770zbMath1485.35133arXiv2101.11759OpenAlexW3125533046MaRDI QIDQ2078588

Hui Yu, Ovidiu V. Savin

Publication date: 1 March 2022

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.11759

zbMATH Keywords

free boundaryobstacle problemsingular set

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35)

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Cites Work

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• On the measure and the structure of the free boundary of the lower dimensional obstacle problem
• A homogeneity improvement approach to the obstacle problem
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