In this paper we give two existence theorems for a class of elliptic problems in an Orlicz-Sobolev space setting concerning both the sublinear and the superlinear case with Neumann boundary conditions. We use the classical critical point theory with the Cerami (PS)-condition

In this paper we show the existence of a nontrivial solution for some elliptic problems in an Orlicz-Sobolev space setting with a sublinear right-hand side. We use the classical critical point theory with the Cerami (PS)-condition

Our goal here is to prove the existence of a nontrivial critical point to the following functional,by using the well-known Mountain-Pass Theorem with Cerami Palais-Smale condition when (•) grows faster than ||

In this paper we are going to show the existence of a nontrivial solution to the following model problem,As one can see the right hand side is superlinear. But we can not use an Ambrosetti-Rabinowitz condition in order to obtain that the corresponding energy functional satisfies (PS) condition....

In this paper we consider two elliptic problems. The rst one is a Dirichlet problem while the second is Neumann. We extend all the known results concerning Landesman-Laser conditions by using the Mountain-Pass theorem with the Cerami () condition