Existence of nontrivial solutions for Schrödinger-Poisson system with sign-changing potential
Keywords:
Schrödinger-Poisson system, Sign-Changing potential, Cerami condition, Local linkingAbstract
In this article, we are interested to consider Schrödinger-Poisson system while the potential function V is indefinite, and the negative space of Schrödinger operator \(-\Delta + V\) is finite-dimensional. Different from many other articles, we consider the condition of nonlinearity \(g(x,t)\) is weaker than the Ambrosetti-Rabinowitz condition. The Schrödinger-Poisson system has nontrivial solutions, which can be found through the application of the Local linking theorem.
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