The Existence Of Ground State Solution To The Nonlinear Elliptic Equation Involving Critical Exponent Problem

In this paper, we consider the existence of ground state solution to the nonlinear elliptic equation involving critical exponent problem in M.N where N≥4,2*=2N|N-2,f(s)€C(R+R), f(u) is subcritical growth. Using penal-ization and Variational method, we prove that f(s) satisfies some conditions, then this problem possess a ground state solutions.