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

被引：7

作者：

Hajaiej, H. ^{[1
]}

Stuart, C. A. ^{[1
]}

机构：

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

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2005年 / 184卷 / 03期

关键词：

D O I：

10.1007/s10231-004-0114-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine a class of Caratheodory 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：18

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