4.6 Article

Ground states for nonlinear fractional Choquard equations with general nonlinearities

期刊

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 39, 期 14, 页码 4082-4098

出版社

WILEY
DOI: 10.1002/mma.3849

关键词

fractional Laplacian; ground states; Choquard equation; variational methods

资金

  1. NSFC [11101374, 11271331, 11571317]
  2. ZJNSF [LY15A010010]

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We study the existence of ground states for the nonlinear Choquard equation driven by fractional Laplacian: (-Delta)(s)u + u = (vertical bar x vertical bar(-mu) * F(u)) f(u) in R-N, where the nonlinearity satisfies the general Berestycki-Lions-type assumptions. Copyright (C) 2016 John Wiley & Sons, Ltd.

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