On a two-phase free boundary condition for \(p\)-harmonic measures

DOI10.1007/s00229-009-0257-4zbMath1182.35223OpenAlexW2013483922MaRDI QIDQ834810

Niklas L. P. Lundström, Kaj Nyström

Publication date: 27 August 2009

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0257-4

zbMATH Keywords

\(p\)-harmonic functionsReifenberg flat domainsNTA-domains

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70) Free boundary problems for PDEs (35R35) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) PDEs with measure (35R06)

Related Items (2)

Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains ⋮ Boundary estimates for solutions to operators of \(p\)-Laplace type with lower order terms

Cites Work

• Boundary behavior and the Martin boundary problem for \(p\) harmonic functions in Lipschitz domains
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• Harmonic measure on locally flat domains
• Free boundary regularity below the continuous threshold: 2-phase problems
• Boundary behaviour of p-harmonic functions in domains beyond Lipschitz domains
• Poisson kernel characterization of Reifenberg flat chord arc domains
• Boundary behaviour for p harmonic functions in Lipschitz and starlike Lipschitz ring domains
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a two-phase free boundary condition for \(p\)-harmonic measures