A note on a mountain pass characterization of least energy solutions

Louis Jeanjean, Kazunaga Tanaka

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We consider the equation -u" = g(u), u(x) ∈ H1(R). (0.1) Under general assumptions on the nonlinearity g we prove that the, unique up to translation, solution of (0.1) is at the mountain pass level of the associated functional. This result extends a corresponding result for least energy solutions when (0.1) is set on RN.

Original languageEnglish
Pages (from-to)445-455
Number of pages11
JournalAdvanced Nonlinear Studies
Volume3
Issue number4
DOIs
Publication statusPublished - 2003

Keywords

  • Least energy solution
  • Mountain pass characterization

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)

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