Hostname: page-component-586b7cd67f-2plfb Total loading time: 0 Render date: 2024-11-28T04:50:31.504Z Has data issue: false hasContentIssue false
  • English
  • Français

Multiple existence of solutions for a singularly perturbed nonlinear elliptic problem on a Riemannian manifold

Published online by Cambridge University Press:  30 January 2012

Norimichi Hirano
Norimichi Hirano
Affiliation:
Department of Mathematics, Graduate School of Environment and Information Sciences, Yokohama National University, Tokiwadai, Hodogayaku, Yokohama, Japan ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

Let (M, g) be a compact smooth N-dimensional Riemannian manifold without boundary. We consider the multiple existence of positive solutions of the problem

where Δg stands for the Laplacian in M and f ε C2(M).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 1 , February 2012 , pp. 81 - 114
Copyright
Copyright © Royal Society of Edinburgh 2012

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.)