A new type of free boundary problem with volume constraint

Huiqiang Jiang, Fanghua Lin

Research output: Contribution to journalArticle

Abstract

We consider a free boundary problem arising from a polymer dispersed Liquid Crystal model. This variational problem can be viewed as a coupling between harmonic mappings into manifold and area minimization with given volume. In this paper, the existence of the solution together with some regularity and partial regularity results are presented.

Original languageEnglish (US)
Pages (from-to)821-865
Number of pages45
JournalCommunications in Partial Differential Equations
Volume29
Issue number5-6
DOIs
StatePublished - 2004

Keywords

  • Cylindrical excess
  • Free boundary
  • Harmonic mapping
  • Hausdorff dimension
  • Liquid crystal
  • Partial regularity

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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