Minimal nodal solutions of the pure critical exponent problem on a symmetric domain

被引：46

作者：

Clapp, M

Weth, T

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

[2] Univ Giessen, Math Inst, D-35392 Giessen, Germany

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 21卷 / 01期

关键词：

D O I：

10.1007/s00526-003-0241-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish existence of nodal solutions to the pure critical exponent problem -Deltau = \u\(2*-2)u in Omega, u = 0 on partial derivativeOmega, where Omega a bounded smooth domain which is invariant under an orthogonal involution of R-N. We extend previous results for positive solutions due to Coron, Dancer, Ding, and Passaseo to existence and multiplicity results for solutions which change sign exactly once.

引用

页码：1 / 14

页数：14

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