Neumann Fixed Boundary Regularity for An Elliptic Free Boundary Problem

DOI10.1080/03605300802402658zbMath1154.35479OpenAlexW2021914314MaRDI QIDQ3603842

Sarah Raynor

Publication date: 19 February 2009

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

Full work available at URL: https://doi.org/10.1080/03605300802402658

zbMATH Keywords

free boundary problemselliptic regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Up to the boundary gradient estimates for viscosity solutions to nonlinear free boundary problems with unbounded measurable ingredients ⋮ On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions ⋮ Solutions to a two-dimensional, Neumann free boundary problem ⋮ Two-phase free boundary problems in convex domains

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