Existence of nontrivial solutions for Schrödinger-Poisson system with sign-changing potential
- Authors
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- Keywords:
- Schrödinger-Poisson system, Sign-Changing potential, Cerami condition, Local linking
- Abstract
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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.
- References
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- Additional Files
- Published
- 16-11-2024
- Issue
- Vol. 2 No. 1 (2024)
- Section
- Research Article
- License
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Copyright (c) 2024 Jiaqian Yuan, Jian Zhou, Yunshun Wu

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