• Title of article

    Locating the peaks of the least energy solutions to an ellyptic system with Neumann boundary conditions

  • Author/Authors

    Ramos، Miguel Mart?nez نويسنده , , Pistoia، Angela نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2004
  • Pages
    -15
  • From page
    16
  • To page
    0
  • Abstract
    We consider a system of the form -(epsilon)^2 (delta)u+u=g(v), -(epsilon)^2(delta)v+v=f(u) in (omega) with Neumann boundary condition on (delta)(omega), where (omega) is a smooth bounded domain in RN, N>=3 and f,g are power-type nonlinearities having superlinear and subcritical growth at infinity. We prove that the least energy solutions to such a system concentrate, as goes to zero, at a point of the boundary which maximizes the mean curvature of the boundary of (omega).
  • Keywords
    Semilinear elliptic equations , Positive solutions , Asymptotic behavior , Infinite multiplicity , separation , stability
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Serial Year
    2004
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Record number

    119179