Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system

الأصل · EN

We investigate the existence of multiple bound state solutions, in particular sign-changing solutions. By using the method of invariant sets of descending flow, we prove that this system has infinitely many sign-changing solutions. In particular, the nonlinear term includes the power-type nonlinearity f(u)=|u|ᵖ⁻²u for the well-studied case p∈(4,6), and the less-studied case p∈(3,4), and for the latter case few existence results are available in the literature.