Remarks on the Clark theorem

Guosheng Jiang, Kazunaga Tanaka, Chengxiang Zhang

Research output: Contribution to journalArticlepeer-review


The Clark theorem is important in critical point theory. For a class of even functionals it ensures the existence of infinitely many negative critical values converging to 0 and it has important applications to sublinear elliptic problems. We study the convergence of the corresponding critical points and we give a characterization of accumulation points of critical points together with examples, in which critical points with negative critical values converges to non-zero critical point. Our results improve the abstract results in Kajikiya [Ka1] and Liu-Wang [LW].

58E05, 35J60

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2017 Jan 13

ASJC Scopus subject areas

  • General

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