The Existence Of Multiple Solutions For A Semilinear Biharmonic Problem Involving Critical Sobolev Exponent

In this paper, we are concerned with the following problem: where Ω is a bounded domain containing the origin in RN with N≥5;(?)∮is sufficiently smooth.1<q<2; λ,μ>0;2*=2N/N-4is the critical Sobolev exponent. By extracting the Palais-Smale sequence in the Nehari manifoid, the existence of multiple nontrivial solutions to this equation is verified.