A new type of free boundary problem with volume constraint

Huiqiang Jiang; Fanghua Lin

doi:10.1081/PDE-120037333

A new type of free boundary problem with volume constraint

Huiqiang Jiang, Fanghua Lin

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	821-865
Number of pages	45
Journal	Communications in Partial Differential Equations
Volume	29
Issue number	5-6
DOIs	https://doi.org/10.1081/PDE-120037333
State	Published - 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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10.1081/PDE-120037333

Cite this

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title = "A new type of free boundary problem with volume constraint",

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.",

keywords = "Cylindrical excess, Free boundary, Harmonic mapping, Hausdorff dimension, Liquid crystal, Partial regularity",

author = "Huiqiang Jiang and Fanghua Lin",

year = "2004",

doi = "10.1081/PDE-120037333",

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pages = "821--865",

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AU - Jiang, Huiqiang

AU - Lin, Fanghua

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N2 - 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.

AB - 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.

KW - Cylindrical excess

KW - Free boundary

KW - Harmonic mapping

KW - Hausdorff dimension

KW - Liquid crystal

KW - Partial regularity

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JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

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A new type of free boundary problem with volume constraint

Abstract

Keywords

ASJC Scopus subject areas

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