Least energy solutions of the Emden-Fowler equation in hollow thin symmetric domains

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:406

Article

Kajikiya, Ryuji

关键词: Emden-Fowler equation;    Group invariant solution;    Least energy solution;    Positive solution;    Variational method;   

DOI  :  10.1016/j.jmaa.2013.04.068

来源: Elsevier

【 摘 要 】

In this paper, the Emden-Fowler equation is studied in a hollow thin domain which is invariant under the action of a closed subgroup of the orthogonal group. Then it is proved that if the domain is thin enough, a least energy solution is not group invariant. (c) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

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