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Multiplicity and concentration results for fractional Schrödinger‐Poisson systems involving a Bessel operator
Author(s) -
Shen Liejun
Publication year - 2018
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.5223
Subject(s) - mathematics , bessel function , poisson distribution , operator (biology) , norm (philosophy) , mathematical analysis , schrödinger's cat , regular polygon , multiplicity (mathematics) , uniqueness , pure mathematics , biochemistry , statistics , chemistry , geometry , repressor , political science , transcription factor , law , gene
This paper is concerned with the fractional Schrödinger‐Poisson systems involving a Bessel operator. By using Mountain‐pass theorem and Ekeland's variational principle, we obtain the multiplicity and concentration of nontrivial solutions for the given problem. In particular, although there exist concave‐convex nonlinearities in our problem, it is not necessary to assume that the corresponding Lebesgue norm of the weight function of the convex term needs to be small enough.