一类Schrödinger-Kirchhoff-Poisson方程的正解  

Positive Solutions for a Class of Schrödinger-Kirchhoff-Poisson Equation

作　　者：黄世鹏 

机构地区：[1]福建师范大学,数学与统计学院,福建 福州

出　　处：《应用数学进展》2024年第9期4353-4359,共7页Advances in Applied Mathematics

摘　　要：运用变分方法讨论一类Schrödinger-Kirchhoff-Poisson方程正解的存在性。在适当假设下,通过运用一些技巧证明了能量泛函满足Palais-Smale条件。最后运用山路引理,Ekeland变分原理和强极大值原理得到了主要结论。The existence of positive solutions for a class of Schrödinger-Kirchhoff-Poisson equation is discussed by using variational methods. Under appropriate assumption, it is proved that the energy functional satisfies the Palais-Smale condition by using some techniques. Finally, the main conclusions are obtained by using mountain pass lemma, Ekeland variational principle and strong maximum principle.

关 键 词：Schrödinger-Kirchhoff-Poisson方程 正解 山路引理 变分法 

分 类 号：O17[理学—数学]