A new type of free boundary problem with volume constraint

Huiqiang Jiang, Fanghua Lin

Research output: Contribution to journalArticlepeer-review


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
Issue number5-6
StatePublished - 2004


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

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


Dive into the research topics of 'A new type of free boundary problem with volume constraint'. Together they form a unique fingerprint.

Cite this