Infinite solutions for a class of Brézis–Nirenberg equations with an indefinite linear and nonlinear terms in sign

Let p,q∈]0,1[p,q∈0,1. In the present paper, we study the existence of infinitely many nontrivial solutions for a class of Brézis–Nirenberg equation-Δu+V(x)u=a(x)up-1u+b(x)uq-1u,inRN,where N⩾3N⩾3, a(x)a(x) and b(x)b(x) have a contrary sign and satisfy suitable conditions. The proof is based on the variant Fountain theorem established by Zou.