Solutions concentrating at curves for some singularly perturbed elliptic problems

被引：20
|
作者：
Malchiodi, A [1 ]
机构：
[1] SISSA, I-34014 Trieste, Italy
来源：
COMPTES RENDUS MATHEMATIQUE | 2004年 / 338卷 / 10期
关键词：
D O I：
10.1016/j.crma.2004.03.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study positive solutions of the equation -epsilon(2)Deltau + u = u(p), where p > 1 and epsilon > 0 is small, with Neumann boundary conditions in a three-dimensional domain Omega. We prove the existence of solutions concentrating along some closed curve on a Omega. (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.
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页码：775 / 780
页数：6
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