A Liouville type theorem for a variational problem with free boundary in three dimensions

DOI10.1016/J.NA.2012.02.022zbMath1243.35034OpenAlexW2016725205MaRDI QIDQ417776

Lizhou Wang

Publication date: 14 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.02.022

zbMATH Keywords

variational problemLiouville type theoremDirichlet boundary conditionsglobal minimumfree boundary

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Entire solutions to PDEs (35B08) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Cites Work

• Unnamed Item
• A Harnack inequality approach to the regularity of free boundaries. I: Lipschitz free boundaries are \(C^{1,\alpha}\)
• Partial regularity for a minimum problem with free boundary
• Harmonic Function Theory
• A Harnack inequality approach to the regularity of free boundaries part II: Flat free boundaries are Lipschitz
• Global energy minimizers for free boundary problems and full regularity in three dimensions

This page was built for publication: A Liouville type theorem for a variational problem with free boundary in three dimensions