Infinitely Many Solutions Of P-Laplacian Equation With Nonsymmeteic Disturbing Term

In this paper, the recent achievements of multiple solutions in semilinear ellipic problems and p-Laplacian problems are related. On the base of them, I study the following p-Laplacian problem with O-Dirichlet boundary value in a general bounded domain Ω of cone-type: -div(|Du|^p-2 Du) = g(x, u) + f{x), where f(x) is non-odd disturbing term. By showing different means I obtain the existence of multiple solutions of the problem on the more general conditions.