MULTIPLE SOLUTIONS FOR THE BREZIS-NIRENBERG PROBLEM

被引：3

作者：

Clapp, Monica ^{[1
]}

Weth, Tobias ^{[2
]}

机构：

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

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

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2005年 / 10卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish the existence of multiple solutions to the Dirichlet problem for the equation -Delta u = lambda u + vertical bar u vertical bar(4/N-2) u on a bounded domain Omega of R-N, N >= 4. We show that, if lambda > 0 is not a Dirichlet eigenvalue of -Delta on Omega, this problem has at least N+1/2 pairs of nontrivial solutions. If lambda is an eigenvalue of multiplicity m then it has at least N+1-m/2 pairs of nontrivial solutions.

引用

页码：463 / 480

页数：18

共 25 条

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