Multiple critical points of perturbed symmetric functionals

Multiple critical points of perturbed symmetric functionals
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DOI:
10.1090/s0002-9947-1982-0662065-5
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发表时间:
1982-02
影响因子:
1.3
通讯作者:
P. Rabinowitz
P. Rabinowitz
中科院分区:
数学1区
文献类型:
--
作者:
P. Rabinowitz

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翻译后摘要:一组对称下不变的变分问题往往具有多个解决方案。本文研究了扰动的影响,这是不小的,这破坏了两类这样的问题的对称性,并显示了多个解决方案,尽管扰动持续。(作者)
Abstract : Variational problems which are invariant under a group of symmetries often possess multiple solutions. This paper studies the effect of perturbations which are not small and which destroy the symmetry for two classes of such problems and shows how multiple solutions persist despite the perturbation. (Author)