Null quadrature domains and a free boundary problem for the Laplacian

DOI10.1512/IUMJ.2012.61.4753zbMath1272.35082arXiv1003.1054OpenAlexW2962700014MaRDI QIDQ4923048

Lavi Karp, Avmir S. Margulis

Publication date: 5 June 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1054

zbMATH Keywords

quadratic growthSchwarz potentialnull quadrature domainsa free boundary problem

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Potentials and capacities on other spaces (31C15) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

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Dima Khavinson's 60th: a summary of open problems in analysis and mathematical physics ⋮ A note on arclength null quadrature domains ⋮ On global solutions of the obstacle problem

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