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Critical fractional Schrödinger-Poisson systems with lower perturbations: the existence and concentration behavior of ground state solutions

Advances in Nonlinear Analysis
In this article, we study the following fractional Schrödinger-Poisson system: ε2s(−Δ)su+V(x)u+ϕu=f(u)+∣u∣2s*−2u,inR3,ε2t(−Δ)tϕ=u2,inR3,\left\{\begin{array}{ll}{\varepsilon }^{2s}{\left(-\Delta )}^{s}u+V\left(x)u+\phi u=f\left(u)+{| u| }^{{2}_{s}^{* }-2 ...
Feng Shenghao, Chen Jianhua, Huang Xianjiu   +2 more
doaj   +1 more source

Chaotic and quasi-periodic dynamics in fractional-order nonlinear wave systems within dispersive-dissipative media. [PDF]

Sci Rep
Mohammed WW, Gassem F, Sidaoui R, Vokhmintsev A, Khater MMA.   +4 more
europepmc   +1 more source

Optimal Functional Inequalities for Fractional Operators on the Sphere and Applications. [PDF]

Adv Nonlinear Stud, 2016
Dolbeault J, Zhang A.
europepmc   +1 more source

Hölder regularity for parabolic fractional p-Laplacian. [PDF]

Calc Var Partial Differ Equ
Liao N.
europepmc   +1 more source

SOLVING SOME FRACTIONAL ORDER DIFFERENTIAL EQUATIONS BY MEANS OF INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS [PDF]

, 2012
NIKOLOVA, YANKA
core  

Multiple positive solutions to a coupled systems of nonlinear fractional differential equations. [PDF]

Springerplus, 2016
Shah K, Khan RA.
europepmc   +1 more source