• Title of article

    POSITIVE SOLUTIONS FOR ASYMPTOTICALLY PERIODIC KIRCHHOFF-TYPE EQUATIONS WITH CRITICAL GROWTH

  • Author/Authors

    Shi ، H. - ‎Central South University‎ , Chen ، H. - ‎Central South University‎

  • Pages
    15
  • From page
    147
  • To page
    161
  • Abstract
    In this paper‎, ‎we consider the following Kirchhoff-type equations‎:‎−‎(a+b∫R3|∇u|2)Δu+V(x)u=λ f(x,u)+u5‎,‎in R3, ‎u(x) 0‎,‎in R3,‎u∈H1(R3)‎,‎ ‎‎‎‎where a,b 0 are constants and λ is a positive parameter‎. ‎The aim of this paper is to study the existence of positive solutions for Kirchhoff-type equations with a nonlinearity in the critical growth under some suitable assumptions on V(x) and f(x,u)‎. ‎Recent results from the literature are improved and extended.
  • Keywords
    Kirchhoff , type equations , critical growth , variational methods
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Serial Year
    2017
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2456171

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2456171