Structure of One-Phase Free Boundaries in the Plane

DOI10.1093/imrn/rnv339zbMath1404.35491arXiv1412.4106OpenAlexW2963233354MaRDI QIDQ4560524

Nikola Kamburov, David S. Jerison

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4106

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Classical solutions to PDEs (35A09)

Related Items (8)

Higher critical points in an elliptic free boundary problem ⋮ Graphical solutions to one-phase free boundary problems ⋮ A note on arclength null quadrature domains ⋮ Nondegeneracy for stable solutions to the one-phase free boundary problem ⋮ Parabolic NTA domains in ℝ² ⋮ On a free boundary problem and minimal surfaces ⋮ The one-phase problem for harmonic measure in two-sided NTA domains ⋮ Inhomogeneous global minimizers to the one-phase free boundary problem

This page was built for publication: Structure of One-Phase Free Boundaries in the Plane