A three critical points result in a bounded domain of a banach space and applications

Radu Precup, Patrizia Pucci, C. Varga

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Using the bounded mountain pass lemma and the Ekeland variational principle, we prove a bounded version of the Pucci{Serrin three critical points result in the intersection of a ball with a wedge in a Banach space. The localization constraints are overcome by boundary and invariance conditions. The result is applied to obtain multiple positive solutions for some semilinear problems.

Original languageEnglish
Pages (from-to)555-568
Number of pages14
JournalDifferential and Integral Equations
Volume30
Issue number7-8
Publication statusPublished - Jul 1 2017

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ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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