%0 Journal Article
%T 一类Schr&#246;dinger-Kirchhoff-Poisson方程的正解<br>Positive Solutions for a Class of Schr&#246;dinger-Kirchhoff-Poisson Equation
%A 黄世鹏
%J Advances in Applied Mathematics
%P 4353-4359
%@ 2324-8009
%D 2024
%I Hans Publishing
%R 10.12677/aam.2024.139415
%X 运用变分方法讨论一类Schr&#246;dinger-Kirchhoff-Poisson方程正解的存在性。在适当假设下&#65292;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&#65292;Ekeland变分原理和强极大值原理得到了主要结论。<br>The existence of positive solutions for a class of Schr&#246;dinger-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.
%K Schr&#246
%K dinger-Kirchhoff-Poisson方程&#65292
%K 正解&#65292
%K 山路引理&#65292
%K 变分法<br>Schr&#246
%K dinger-Kirchhoff-Poisson Equation
%K Positive Solutions
%K Mountain Pass Lemma
%K Variational Method
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=96839