Chinese Quarterly Journal of Mathematics ›› 2016, Vol. 31 ›› Issue (1): 9-18.doi: 10.13371/j.cnki.chin.q.j.m.2016.01.002

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Ground State Solutions for SchrÄodinger-Poisson Systems

  

  1. School of Science, Tianjin University of Technology and Education
  • Received:2014-09-19 Online:2016-03-30 Published:2020-11-12
  • About author: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.

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

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