On the shape of solutions of an asymptotically linear problem

被引：0
|
作者：
Grossi, Massimo [1 ]
机构：
[1] Sapienza Univ Roma, Dipartimento Matemat, I-00185 Rome, Italy
来源：
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2009年 / 8卷 / 03期
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D O I：
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中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the problem {-Delta u = |u|(epsilon)u in Omega u = 0 on partial derivative Omega (0.1) where Omega is a smooth bounded domain of R(N), N >= 1, epsilon > 0. We will show that, under some assumptions, the solutions to (0.1) are close to suitable linear combinations of eigenfunctions of the problem {-Delta u = lambda u in Omega u = 0 on partial derivative Omega.
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页码：429 / 449
页数：21
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