Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System

الملخص EN

We consider a Schrödinger-Poisson system in ℝ3 with a strongly indefinite potential and a general nonlinearity.

Its variational functional does not satisfy the global linking geometry.

We obtain a nontrivial solution and, in case of odd nonlinearity, infinitely many solutions using the local linking and improved fountain theorems, respectively.