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.

引用

页码：775 / 780

页数：6

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