Remarks on the clark theorem

Guosheng Jiang, Kazunaga Tanaka*, Chengxiang Zhang

*Corresponding author for this work

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 nonzero critical point. Our results improve the abstract results in Kajikiya [4] and Liu-Wang [7].

Original languageEnglish
Pages (from-to)1421-1434
Number of pages14
JournalJournal of Nonlinear and Convex Analysis
Issue number8
Publication statusPublished - 2017


  • Clark theorem
  • Genus
  • Minimax method

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Control and Optimization
  • Applied Mathematics


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