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.
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页码：205 / 217
页数：13
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