Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-28T02:52:51.898Z Has data issue: false hasContentIssue false
  • English
  • Français

On the number of interior peaks of solutions to a non-autonomous singularly perturbed Neumann problem

Published online by Cambridge University Press:  25 March 2009

Chunyi Zhao
Chunyi Zhao
Affiliation:
Department of Mathematics, East China Normal University, Shanghai 200062, People's Republic of China ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We study the following non-autonomous singularly perturbed Neumann problem:

where the index p is subcritical and a(x) is a positive smooth function in . We show that, given ε small enough, there exists a K(ε) such that, for any positive integer K ≤ K(ε), there always exists a solution with K interior peaks concentrating at a strict sth-order local minimum point of a.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 2 , April 2009 , pp. 427 - 448
Copyright
Copyright © Royal Society of Edinburgh 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)