Existence of solution for a generalized Schrödinger–Poisson system via bifurcation theory

Abstract

In this paper, we study a generalized Schrödinger–Poisson system in a bounded domain of $\mathbb{R}^{3}$ and involving an asymptotically linear nonlinearity. We prove the existence of positive solutions using bifurcation theory.

Keywords

• bifurcation theory
• positive solutions
• schrödinger–poisson system
• topological degree