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28 December 2004 Symmetry and concentration behavior of ground state in axially symmetric domains
Tsung-Fang Wu
Abstr. Appl. Anal. 2004(12): 1019-1030 (28 December 2004). DOI: 10.1155/S1085337504404023

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.

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Tsung-Fang Wu. "Symmetry and concentration behavior of ground state in axially symmetric domains." Abstr. Appl. Anal. 2004 (12) 1019 - 1030, 28 December 2004. https://doi.org/10.1155/S1085337504404023

Information

Published: 28 December 2004
First available in Project Euclid: 30 December 2004

zbMATH: 1129.35409
MathSciNet: MR2130205
Digital Object Identifier: 10.1155/S1085337504404023

Subjects:
Primary: 35J20 , 35J25
Secondary: 35J60

Rights: Copyright © 2004 Hindawi

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Vol.2004 • No. 12 • 28 December 2004
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