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Nontrivial solutions for the fractional Schrödinger‐Poisson system with subcritical or critical nonlinearities
Author(s) -
Fan Zian
Publication year - 2020
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.6019
Subject(s) - nehari manifold , mathematics , multiplicity (mathematics) , schrödinger's cat , poisson distribution , class (philosophy) , mathematical analysis , manifold (fluid mechanics) , mathematical physics , nonlinear system , physics , quantum mechanics , statistics , artificial intelligence , computer science , mechanical engineering , engineering
In this paper, we are concerned with a class of fractional Schrödinger‐Poisson system involving subcritical or critical nonlinearities. By using the Nehari manifold and variational methods, we obtain the existence and multiplicity of nontrivial solutions.