On non quasiconvex problems of the calculus of variations

被引：0

作者：

Dacorogna, B ^{[1
]}

Pisante, G

Ribeiro, AM

机构：

[1] Ecole Polytech Fed Lausanne, Sect Math, CH-1015 Lausanne, Switzerland

[2] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2005年 / 13卷 / 04期

关键词：

existence of minimizers; non quasiconvex function; differential inclusion; singular values;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study existence of minimizers for problems of the type inf{f(Omega) f(Du (x)) dx : u = u(xi o) on partial derivative Omega} where f is non quasiconvex and u(xi o) is an affine function. Applying some new results on differential inclusions, we get sufficient conditions. We also study necessary conditions. We then consider some examples.

引用

页码：961 / 983

页数：23

共 3 条

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