A new type of free boundary problem with volume constraint

Huiqiang Jiang, Fang-Hua 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
StatePublished - 2004

Fingerprint

Harmonic Mapping
Partial Regularity
Liquid crystal polymers
Free Boundary Problem
Variational Problem
Liquid Crystal
Polymers
Regularity
Model

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Analysis
  • Applied Mathematics

Cite this

A new type of free boundary problem with volume constraint. / Jiang, Huiqiang; Lin, Fang-Hua.

In: Communications in Partial Differential Equations, Vol. 29, No. 5-6, 2004, p. 821-865.

Research output: Contribution to journalArticle

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