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Infinitely many large energy solutions for the Schrödinger–Poisson system with concave and convex nonlinearities
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-10-05 , DOI: 10.1016/j.aml.2020.106789 Shang-Jie Chen , Lin Li
中文翻译:
具有凹和凸非线性的Schrödinger-Poisson系统的无穷多个大型能量解
更新日期:2020-10-16
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2020-10-05 , DOI: 10.1016/j.aml.2020.106789 Shang-Jie Chen , Lin Li
In this paper, we obtained the existence of infinitely many large energy solutions for the Schrödinger–Poisson system with concave and convex nonlinearities by using Mountain Pass Theorem in critical point theory. Some recent results from the literature are sharply improved and extended.
中文翻译:
具有凹和凸非线性的Schrödinger-Poisson系统的无穷多个大型能量解
在本文中,我们通过使用以下方法获得了具有凹和凸非线性的Schrödinger-Poisson系统的无限大能量解的存在 临界点理论中的山口定理。文献中的一些最新结果得到了极大的改进和扩展。