Infinitely Many Non-radial Solutions For The Hénon Type Equation With Critical Growth

This paper deals with the following Henon type equation with critical growth(?) where B1(0)is the unit ball in RN,N≥ 5 and Q(|z|)=Q(ρ):[0,1]→R is a bounded function.Suppose that there is a ρ0∈(0,1),such that Q(ρ0)>0,and Q(ρ)=Q(ρ0)-a0|ρ-ρ0|s+O(|ρ-ρ0|s+ι),as ρ→ρ0,where s ∈[2,N-2),a0>0 and(?)>0 are some constants.By combining a finite dimensional reduction argument and Minimax principle,we prove the above equation has infinitely many non-radial positive solutions,whose energy can be made arbitrarily large.