Premium
Ground states for nonlinear fractional Choquard equations with general nonlinearities
Author(s) -
Shen Zifei,
Gao Fashun,
Yang Minbo
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3849
Subject(s) - fractional laplacian , mathematics , nonlinear system , type (biology) , laplace operator , mathematical analysis , mathematical physics , quantum mechanics , physics , ecology , biology
We study the existence of ground states for the nonlinear Choquard equation driven by fractional Laplacian:( − Δ ) s u + u =| x | − μ ∗ F ( u ) f ( u ) in R N , where the nonlinearity satisfies the general Berestycki–Lions‐type assumptions. Copyright © 2016 John Wiley & Sons, Ltd.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom