Hostname: page-component-788cddb947-r7bls Total loading time: 0 Render date: 2024-10-12T16:20:55.882Z Has data issue: false hasContentIssue false
  • English
  • Français

Multiple solutions of semilinear elliptic equations in exterior domains

Published online by Cambridge University Press:  14 July 2008

Huei-Li Lin
Huei-Li Lin
Affiliation:
Center for General Education, Chang Gung University, Kwei-San, Tao-Yuan 333, Taiwan, ROC (hlin@mail.cgu.edu.tw)
Get access Rights & Permissions [Opens in a new window]

Abstract

In this paper, assume that $q$ is a positive continuous function in $\mathbb{R}^{N}$ satisfying suitable conditions. We prove that the Dirichlet problem $-\Delta u+u=q(z)|u|^{p-2}u$ in an exterior domain admits at least two positive solutions and a solution which changes sign.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 138 , Issue 3 , June 2008 , pp. 531 - 549
Copyright
2008 Royal Society of Edinburgh

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.)