Ground State Solutions for SchrÄodinger-Poisson Systems

XU Na

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

Chinese Quarterly Journal of Mathematics >

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

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

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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Abstract

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.

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

Cite this article

XU Na . Ground State Solutions for SchrÄodinger-Poisson Systems[J]. Chinese Quarterly Journal of Mathematics, 2016 , 31(1) : 9 -18 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.01.002

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