Symmetry and concentration behavior of ground state in axially symmetric domains

Tsung-Fang Wu

Abstract and Applied Analysis, 2004, vol. 2004, 1-12

Abstract:

We let Ω ( r ) be the axially symmetric bounded domains which satisfy some suitable conditions, then the ground-state solutions of the semilinear elliptic equation in Ω ( r ) are nonaxially symmetric and concentrative on one side. Furthermore, we prove the necessary and sufficient condition for the symmetry of ground-state solutions.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:304595

DOI: 10.1155/S1085337504404023

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