چكيده لاتين :
We consider the semilinear elliptic boundary value problem
{
- deltau(x) =deltaf(U(X));
u(x) = 0;
x element of omega
xolement of partial omega
where lambda > 0 is a parameter, omega is a bounded region in RN with a smooth boundary, and f is a
smooth function. We prove, under some additional conditions, the existence of a positive solution for A
large. We prove that our solution u for lambda, large is such that I u 1:= SUp Iu(x) I~ infinity as lambda ->infinity.
xelement of omega
Also, in the case of N =1, we use a bifurcation theory to show that the solution is unstable
