MULTIPLE STATIONARY SOLUTIONS TO GKP EQUATION IN A BOUNDED DOMAIN

In this paper, we study the existence of multiple stationary

solutions of Generalized Kadomtsev-Petviashvili (Abbr. GKP) equation in a bounded domain with smooth boundary and for superlinear nonlinear term f(u) = L|u|p-2u + |u|q-2u  where 1 <_ p, q < 2¤ = 2(2n-1)/2n-3 . Our methods are based on variational methods, and the results are divided into two cases according to the different values of the parameters p, q.