Stability and symmetry breaking of solutions of semilinear elliptic equations

Hwai-Chiuan Wang

doi:10.3934/proc.2005.2005.886

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2005, Volume 2005: 886-894. Doi: 10.3934/proc.2005.2005.886 open access

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Stability and symmetry breaking of solutions of semilinear elliptic equations

Hwai-Chiuan Wang^1,

1.
Department of Applied Mathematics, Hsuan Chuang University, Hsinchu

Received: June 30, 2004

Revised: February 28, 2005

Published: August 2005

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Abstract

In this article, we prove that there are three unstable positive solutions of a semilinear elliptic equation in a two bumps domain or in a one hole domain in which one is axially symmetric and the other two are nonaxially symmetric.

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Mathematics Subject Classification: 35J20, 35J25, 35J60.

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Stability and symmetry breaking of solutions of semilinear elliptic equations

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