摘要
Schr dinger-Poisson系统是由Schr dinger方程和Poisson方程耦合在一起所得,它具有很强的物理背景,主要用来研究微观物质在电场中的运动规律。本文考虑有界区域上一类带临界指数的Schr dinger-Poisson系统,利用山路定理和Ekeland变分原理,获得了该系统至少存在2个正解。
Schr dinger-Poisson system is obtained by coupling Schr dinger equation and Poisson equation.With a strong physical background,it is mainly used to study the motion law of micro matter in electric field.In this paper,a class of Schr dinger-Poisson system with critical exponents on bounded domains is considered and two positive solutions are obtained by Mountain Pass Theorem and Ekeland variational principle.
作者
廖家锋
陈清方
LIAO Jia-feng;CHEN Qing-fang(School of Mathematics&Information,China West Normal University,Nanchong Sichuan 637009,China;College of Mathematics Education,China West Normal University,Nanchong Sichuan 637009,China)
出处
《西华师范大学学报(自然科学版)》
2023年第4期358-364,共7页
Journal of China West Normal University(Natural Sciences)
基金
西华师范大学创新团队科研项目(CXTD2018-8)
西华师范大学基本科研项目(18B015)。