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

Jaeyoung Byeon, Kazunaga Tanaka

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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].

本文言語English
ページ(範囲)749-765
ページ数17
ジャーナルAdvanced Nonlinear Studies
12
4
出版ステータスPublished - 2012 12 17

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)

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