一类Schrödinger-Kirchhoff-Poisson方程的正解
Positive Solutions for a Class of Schrödinger-Kirchhoff-Poisson Equation
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。
Abstract: 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.
文章引用：黄世鹏. 一类Schrödinger-Kirchhoff-Poisson方程的正解[J]. 应用数学进展, 2024, 13(9): 4353-4359. https://doi.org/10.12677/aam.2024.139415

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