Nonlinear elliptic equations in strip-like domains dedicated to Professor Antonio Ambrosetti

Jaeyoung Byeon, Kazunaga Tanaka

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We study the existence of a positive solution of a nonlinear elliptic equation Mathematical equation represented where k ≥ 2 and D is a bounded domain in R, ℓ ≥ 1. We give almost necessary and sufficient condition on f (ℰ) for the existence of a positive solution, which is inspired by the works of Berestycki-Lions [1] and Berestycki- Gallouët-Kavian [3].

Original languageEnglish
Pages (from-to)749-765
Number of pages17
JournalAdvanced Nonlinear Studies
Volume12
Issue number4
Publication statusPublished - 2012 Dec 17

Keywords

  • Nonlinear Elliptic Equations
  • Strip-Like Domains

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)

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