一类渐近3-线性Kirchhoff型方程的正基态解  

Existence of a Positive Ground State Solution for a Class of Asymptotically 3-Linear Kirchhoff-Type Equations

作　　者：陈星 吴行平[1] 唐春雷[1] CHEN Xing;WU Xing-ping;TANG Chun-lei(School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学数学与统计学院,重庆400715

出　　处：《西南师范大学学报（自然科学版）》2019年第4期22-25,共4页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家自然科学基金项目(11471267)

摘　　要：采用变分方法研究了一类渐近3-线性Kirchhoff型方程.利用极小作用原理,得到非零非负解的存在性.最后利用强极大值原理,得到了一个正的基态解.In this paper, we have mainly studied a class of asymptotically 3-linear Kirchhoff-type equations by variational method. Using the principle of minimal action, the existence of non-zero and non-negative solution is obtained. Finally, a positive ground state solution is obtained by using the strong maximum principle.

关 键 词：KIRCHHOFF方程 基态解 极小作用原理 变分方法 

分 类 号：O176.3[理学—数学]