JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (8): 62-67.doi: 10.6040/j.issn.1671-9352.0.2018.670

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Existence of ground states for linear coupled systems of lower critical Choquard type

  

  1. School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China
  • Online:2019-08-20 Published:2019-07-03

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Abstract: To the best of our knowledge, there is few result about linearly coupled systems of Choquard type with the lower critical up to now. The existence of ground state solutions for a class of Choquard-type linear coupled systems with lower critical exponents is studied by variational methods. It is a promotion and supplement to the previous research results.

Key words: linearly coupled system, lower critical exponent, choquard equation, variational method, ground state solution

CLC Number: 

  • O176.3
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