Perturbed obstacle problems in Lipschitz domains: linear stability and nondegeneracy in measure

DOI10.1216/RMJ-2019-49-5-1407zbMath1423.35460arXiv1808.05257MaRDI QIDQ2326027

Jeremy LeCrone, Ivan Blank

Publication date: 4 October 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05257

zbMATH Keywords

Green's functionPoisson kernelobstacle problemLipschitz domainperturbed datalinear boundscontact sets

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Second-order elliptic equations (35J15) Perturbations in context of PDEs (35B20) Free boundary problems for PDEs (35R35) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Green's functions for elliptic equations (35J08)

Related Items (2)

Quantitative convergence of the ``bulk free boundary in an oscillatory obstacle problem ⋮ The forbidden region for random zeros: Appearance of quadrature domains

Cites Work

• Quantitative stability of the free boundary in the obstacle problem
• The inhomogeneous Dirichlet problem in Lipschitz domains
• Sharp results for the regularity and stability of the free boundary in the obstacle problem
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