HIGHER REGULARITY OF UNIFORM LOCAL MINIMIZERS IN CALCULUS OF VARIATIONS

被引：2

作者：

Bitew, Worku T. ^{[1
]}

Grabovsky, Yury ^{[2
]}

机构：

[1] SUNY, Farmingdale State Coll, Dept Math, Farmingdale, NY 11735 USA

[2] Temple Univ, Dept Math, Philadelphia, PA 19122 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2017年 / 145卷 / 12期

基金：

美国国家科学基金会;

关键词：

PARTIAL DIFFERENTIAL EQUATIONS; GENERAL BOUNDARY CONDITIONS; QUASICONVEXITY; CONTINUITY; CAVITATION; MINIMA;

D O I：

10.1090/proc/13639

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a simple proof of W-loc (2,2) regularity of Lipschitz uniform local minimizers of vectorial variational problems. The method is based on the idea that inner variations provide constraints on the structure of singularities of local minimizers.

引用

页码：5215 / 5222

页数：8

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