Least energy solutions of the generalized Henon equation in reflectionally symmetric or point symmetric domains

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:253

Article

Kajikiya, Ryuji

关键词: Henon equation;    Symmetric solution;    Least energy solution;    Positive solution;    Variational method;   

DOI  :  10.1016/j.jde.2012.05.004

来源: Elsevier

【 摘 要 】

We study the generalized Henon equation in reflectionally symmetric or point symmetric domains and prove that a least energy solution is neither reflectionally symmetric nor even. Moreover, we prove the existence of a positive solution with prescribed exact symmetry. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free