Existence Of The Positive Solutions For A Class Of Nonlinear Elliptic Equations

In this paper,we study the existence of nontrivial solutions for a class of second elliptic equation with critical potential and indefinite weights in RN. where 2≤p*<2N/(N-2).0≤μ≤μ(?)1/4, f(x,u) satisfies following condition: (H.1)f(x,u):Ω×R→R is continuous,and f(x.0)=0: (H.2)limu→0 f(x,u)/u=k(x)∈L∞(Ω),|k(x)|∞=λ1 (H.3)limu→∞f(x,u)/|u|p*-1=0. We use critical point theory.and Hardy inequality prove the existence of non-trivial solution for a class of second elliptic equation with critical potential and indefinite weights in RN...