A remark on least energy solutions in RN

Louis Jeanjean, Kazunaga Tanaka

Research output: Contribution to journalArticle

181 Citations (Scopus)

Abstract

We study a mountain pass characterization of least energy solutions of the following nonlinear scalar field equation in RN -δu = g(u), u ∈ H1(RN), where N ≥ 2. Without the assumption of the monotonicity of t → g(t)/t, we show that the mountain pass value gives the least energy level.

Original languageEnglish
Pages (from-to)2399-2408
Number of pages10
JournalProceedings of the American Mathematical Society
Volume131
Issue number8
DOIs
Publication statusPublished - 2003 Aug 1

Keywords

  • Least energy solutions
  • Mountain pass theorem
  • Nonlinear elliptic equations in R

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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