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
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
Journal title :
JOURNAL OF DIFFERENTIAL EQUATIONS