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.
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页码：961 / 983
页数：23
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