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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 ([email protected])
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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

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