Existence and Concentration Result for the Kirchhoff Type Equations with General Nonlinearities

Giovany M. Figueiredo, Norihisa Ikoma, João R. Santos Júnior

研究成果: Article査読

126 被引用数 (Scopus)

抄録

In this paper we study the existence and concentration behaviors of positive solutions to the Kirchhoff type equations (Formula presented.) where M and V are continuous functions. Under suitable conditions on M and general conditions on f, we construct a family of positive solutions (uε)ε∈(0, ε̃)] which concentrates at a local minimum of V after extracting a subsequence (εk).

本文言語English
ページ(範囲)931-979
ページ数49
ジャーナルArchive for Rational Mechanics and Analysis
213
3
DOI
出版ステータスPublished - 2014 6
外部発表はい

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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