Almost minimizers for a singular system with free boundary

DOI10.1016/j.jde.2022.07.018zbMath1496.35461arXiv2112.00676OpenAlexW3214962972MaRDI QIDQ2168019

Henrik Shahgholian, Seongmin Jeon, Daniela De Silva

Publication date: 31 August 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.00676

zbMATH Keywords

singular systemepiperimetric inequalityalmost minimizersregular setWeiss-type monotonocity formula

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Almost minimizers for a sublinear system with free boundary ⋮ Almost minimizers to a transmission problem for \((p, q)\)-Laplacian

Cites Work

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• An obstacle-problem-like equation with two phases: Pointwise regularity of the solution and an estimate of the Hausdorff dimension of the free boundary

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