A new type of solutions for a singularly perturbed elliptic Neumann problem
Gongbao Li
Huazhong Normal University, Wuhan, ChinaShuangjie Peng
Central China Normal University, Wuhan, ChinaShusen Yan
University of New England, Armidale, Australia
![A new type of solutions for a singularly perturbed elliptic Neumann problem cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-rmi-volume-23-issue-3.png&w=3840&q=90)
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