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

In this paper we want to exploit further the semi-discrete method appeared in Halidias and Stamatiou (2015). We are interested in the numerical solution of mean reverting CEV processes that appear in financial mathematics models and are described as non negative solutions of certain stochastic...

In this note we would like to give some remarks and open problems concerning comparison results for stochastic functional differential equations. Our starting point was the paper by [N. Halidias, Y. Ren, 2008. An existence theorem for stochastic functional differential equations with delays...