四川师范大学学报（自然科学版）2012，Vol.35Issue(6)：771-775,5.DOI:10.3969/j.issn.1001-8395.2012.06.011
在非齐次边界条件下一类非齐次Schr(o)dinger-Poisson系统的多个解
Multiple Solutions for a Class of Nonhomogenous Schr(o)dinger-Poisson System on the Inhomogeneous Boundary Condition
摘要
Abstract
In this paper, a class of Schrodinger-Poisson systems with nonhomogeneous nonlinear pertuxbable term under inhomoge-neous boundary condition is studied. Schrbdinger-Poisson systems are very important mathematical physical equations. These systems are very importantly meaningful in physics, which describe the motion of charged particals in an electromagnetic field, especially describe a charged partical interacting with unkown potential in its owner electromagnetic field. Many kinds of these systems with homogeneous boundary condition have been discussed, but systems with nonhomogeneous nonlinear perturbable term under inhomogeneous boundary condition are not still discussed. Thus the study in this paper is necessary in view of mathematical point. Consequently, the existence result of multiple solutions for this system is obtained by Ekeland variation principle and Mountain-Pass Lemma.关键词
Schr(o)dinger-Poisson系统/Ekeland变分原理/山路引理Key words
Schrodinger-Poisson system/ Ekeland variation principle/ Mountain-Pass Lemma分类
数理科学引用本文复制引用
丁凌..在非齐次边界条件下一类非齐次Schr(o)dinger-Poisson系统的多个解[J].四川师范大学学报（自然科学版）,2012,35(6):771-775,5.基金项目
国家自然科学青年基金(11101347)、中国博士后科学基金(2012M510363)和湖北省教育厅科学技术研究计划重点基金(D20112605、D20122501)资助项目 （11101347）
