## Revista Matemática Iberoamericana

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

#### 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.

#### Article information

Source
Rev. Mat. Iberoamericana, Volume 23, Number 3 (2007), 1039-1066.

Dates
First available in Project Euclid: 27 February 2008

https://projecteuclid.org/euclid.rmi/1204128310

Mathematical Reviews number (MathSciNet)
MR2414502

Zentralblatt MATH identifier
1153.35040

#### Citation

Li , Gongbao; Peng, Shuangjie; Yan, Shusen. A new type of solutions for a singularly perturbed elliptic Neumann problem. Rev. Mat. Iberoamericana 23 (2007), no. 3, 1039--1066. https://projecteuclid.org/euclid.rmi/1204128310

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