On radial solutions to non-convex variational problems

被引：0
|
作者：
FloresBazan, F [1 ]
机构：
[1] UNIV CONCEPCION, DEPT INGN MATEMAT, CONCEPCION, CHILE
来源：
HOUSTON JOURNAL OF MATHEMATICS | 1996年 / 22卷 / 01期
关键词：
relaxed functional; lower semicontinuity; minimizing sequences; bipolar function;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present two new classes of integrands on a ball, with nonlinear dependence on the state function for which we have existence of radial minima in W-0(2,p) or W-2,W-p boolean AND W-0(1,p). The integrands studied here define functionals which are lower semicontinuous only along some special minimizing sequences and are non-differentiable. Some qualitative properties of the minima are described and an obstacle problem is treated.
引用
收藏
页码：161 / 181
页数：21
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