含超线性项的广义Choquard-Pekar方程基态解的存在性

数学物理学报 ›› 2018, Vol. 38 ›› Issue (2): 276-283.

含超线性项的广义Choquard-Pekar方程基态解的存在性

余纯, 万优艳

江汉大学数学系武汉 430056

收稿日期:2017-06-19 修回日期:2017-10-13 出版日期:2018-04-26 发布日期:2018-04-26
通讯作者: 万优艳 E-mail:wanyouyan@jhun.edu.cn
作者简介:余纯,E-mail:chunyu@jhun.edu.cn
基金资助:
湖北省教育厅科学技术研究计划项目（B2016299）

The Existence of Ground State to the Generalized Choquard-Pekar Equation with Superlinear Nonlinearities

Yu Chun, Wan Youyan

The Department of Mathematics of Jianghan University, Wuhan 430056

Received:2017-06-19 Revised:2017-10-13 Online:2018-04-26 Published:2018-04-26
Supported by:
Supported by the Scientific Research Program of Hubei Provincial Department of Education (B2016299)

摘要/Abstract

摘要： 该文研究一类含超线性项的广义Choquard-Pekar方程.通过集中紧致原理证明了Nehari流形上极小值点是可达的，得到了基态解的存在性.

关键词: Choquard-Pekar方程, Nehari流形, 集中紧致原理, 基态解

Abstract: In this paper the generalized Choquard-Pekar equation with superlinear nonlinearities was studied. By the concentration compactness principle, the minimal point on the Nehari manifold was achieved, then the existence of the ground state was obtained.

Key words: Choquard-Pekar equations, Nehari manifold, Concentration compactness principle, Ground state

中图分类号:

O175.25

余纯, 万优艳. 含超线性项的广义Choquard-Pekar方程基态解的存在性[J]. 数学物理学报, 2018, 38(2): 276-283.

Yu Chun, Wan Youyan. The Existence of Ground State to the Generalized Choquard-Pekar Equation with Superlinear Nonlinearities[J]. Acta mathematica scientia,Series A, 2018, 38(2): 276-283.

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