SchrÄodinger-Poisson 系统的基态解

许娜

doi:10.13371/j.cnki.chin.q.j.m.2016.01.002

数学季刊 >

2016 , Vol. 31 >Issue 1: 9 - 18

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.01.002

SchrÄodinger-Poisson 系统的基态解

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School of Science, Tianjin University of Technology and Education

XU Na(1986-), female, native of Baoding, Hebei, a lecturer of Tianjin University of Technology and Education, Ph.D., engages in di®erential equations and dynamical systems.

收稿日期: 2014-09-19

网络出版日期: 2020-11-12

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Ground State Solutions for SchrÄodinger-Poisson Systems

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School of Science, Tianjin University of Technology and Education

XU Na(1986-), female, native of Baoding, Hebei, a lecturer of Tianjin University of Technology and Education, Ph.D., engages in di®erential equations and dynamical systems.

Received date: 2014-09-19

Online published: 2020-11-12

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摘要

This paper deals with a class of SchrÄodinger-Poisson systems. Under some conditions, we prove that there exists a ground state solution of the system. The proof is based on the compactness lemma for the system. Our results here improve some existing results in the literature.

关键词： Schr?odinger-Poisson system; ground state solution; compactness

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许娜 . SchrÄodinger-Poisson 系统的基态解[J]. 数学季刊, 2016 , 31(1) : 9 -18 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.01.002

Abstract

Key words： Schr?odinger-Poisson system; ground state solution; compactness

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