Abstract We consider $ L^{2} $-constraint minimizers of the mass critical fractional
Schrödinger energy functional with a ring-shaped potential $ V (x)=(| x|-M)^{2} $, where …

(−∆) su+ λV (x) u+ µφu=| u| p− 2u, in R3,(−∆) sφ= u2, in R3, where s∈(3 4, 1), 2< p< 4, λ, µ
are positive parameters and the potential V (x) is a nonnegative continuous function with a …

In this paper, we study the following nonlinear fractional Kirchhoff type problem {(a+ b ∫ _
R^ 3|(-Δ)^ s 2 u|^ 2 dx\right)(-Δ)^ s u+ λ V (x) u=| u|^ p-2 u, & in R^ 3,\u ∈ H^ s (R^ 3),. a+ b∫ …

This paper discusses the existence and multiplicity of positive solutions for a class of
singular boundary value problems of Hadamard fractional differential systems involving the …

The aim of this work is to analyze the existence of positive solutions for a coupled system of
Hadamard type fractional boundary value problems. By using the five functional fixed point …

This paper presents the existence results of the p-Laplacian Hadamard fractional boundary
value problem. We analyze the existence of multiple positive solutions for the fractional …