Infinitely many solutions for a class of indefinite biharmonic equation under symmetry breaking situations

摘要

In this paper, we study the existence of infinitely many solutions of the perturbed biharmonic equation with Navier boundary value conditionUnder the assumptions that f(x,u) is odd and with locally superlinear growth at infinity in u and g(x,u) is not odd in u, we prove the existence of infinitely many solutions in spite of the lack of the symmetry of this problem by Rabinowitz's perturbation method in critical point theory. we obtain some new results which generalize some known results in the literature.