Morse theory and multiple positive solutions to a Neumann problem.

被引：3

作者：

Lazzo, M ^{[1
]}

机构：

[1] UNIV BARI, DIPARTIMENTO MATEMAT, I-70125 BARI, ITALY

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 1995年 / 168卷

关键词：

D O I：

10.1007/BF01759261

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the equation - d Delta u + u = u(p-1) in a bounded domain Omega, with Neumann boundary conditions. Precisely, we obtain Morse-like relations for the energyfisncCional associated to the problem; as a consequence, we get some multiplicity results when the topology of the boundary partial derivative Omega is rich.

引用

页码：205 / 217

页数：13

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