ANALYSIS ON THE JUNCTIONS OF DOMAIN WALLS

被引：11

作者：

Caffarelli, Luis A. ^{[1
]}

Lin, Fang Hua ^{[2
]}

机构：

[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA

[2] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 28卷 / 03期

关键词：

free boundaries; calculus of variations; montonicity formula; OPTIMAL PARTITION PROBLEM; NODAL SETS; REGULARITY; MEMBRANES;

D O I：

10.3934/dcds.2010.28.915

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the local structure and the smoothness of singularities of free boundaries in an optimal partition problem for the Dirichlet eigenvalues. We prove that there is a unique homogeneous blow up(tangent map) at each singular point in the interior of the free boundary. As a consequence we obtain the rectifiability as well as local structures of singularities.

引用

页码：915 / 929

页数：15

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