Optimal regularity for a two-phase obstacle-like problem with logarithmic singularity

DOI10.1080/03605302.2021.1900245zbMath1479.35964arXiv2009.03956OpenAlexW3144579492MaRDI QIDQ5012772

Dennis Kriventsov, Henrik Shahgholian

Publication date: 25 November 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.03956

zbMATH Keywords

free boundarymonotonicity formula

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Semilinear elliptic equations (35J61)

Related Items (1)

A two-phase free boundary with a logarithmic term

Cites Work

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• Differentiability of minima of non-differentiable functionals
• On the regularity of the minima of variational integrals
• A free boundary problem with log-term singularity
• Equilibrium points of a singular cooperative system with free boundary
• Partial Schauder Estimates for Second-Order Elliptic and Parabolic Equations: A Revisit

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