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

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

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104 Citations (Scopus)

Abstract

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).

Original languageEnglish
Pages (from-to)931-979
Number of pages49
JournalArchive for Rational Mechanics and Analysis
Volume213
Issue number3
DOIs
Publication statusPublished - 2014 Jan 1
Externally publishedYes

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ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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