A new type of solutions for a singularly perturbed elliptic Neumann problem

Gongbao Li; Shuangjie Peng; Shusen Yan

doi:10.4171/rmi/523

JournalsrmiVol. 23, No. 3pp. 1039–1066

A new type of solutions for a singularly perturbed elliptic Neumann problem

Gongbao Li
Huazhong Normal University, Wuhan, China
- MathSciNet
- zbMATH Open
Shuangjie Peng
Central China Normal University, Wuhan, China
- zbMATH Open
Shusen Yan
University of New England, Armidale, Australia
- MathSciNet
- zbMATH Open

Download PDF

Abstract

We prove the existence of positive solutions concentrating simultaneously on some higher dimensional manifolds near and on the boundary of the domain for a nonlinear singularly perturbed elliptic Neumann problem.

Cite this article

Gongbao Li, Shuangjie Peng, Shusen Yan, A new type of solutions for a singularly perturbed elliptic Neumann problem. Rev. Mat. Iberoam. 23 (2007), no. 3, pp. 1039–1066

DOI 10.4171/RMI/523