Existence and non-existence of Schwarz symmetric ground states for elliptic eigenvalue problems

被引：0

作者：

H. Hajaiej

C.A. Stuart

机构：

[1] EPFL,IACS

来源：

Annali di Matematica Pura ed Applicata (1923 -) | 2005年 / 184卷

关键词：

Radial Symmetry; Elliptic Eigenvalue Problem; Optical Wave Guide; Subsequent Remark; Symmetric Minimizer;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We determine a class of Carathéodory functions G for which the minimum formulated in the problem (1.1) below is achieved at a Schwarz symmetric function satisfying the constraint. Our hypotheses about G seem natural and, as our examples show, they are optimal from some points of view.

引用

页码：297 / 314

页数：17

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