Goal of this paper is to study the asymptotic behaviour of the solutions of the following
doubly nonlocal equation (− Δ) s u+ μ u=(I α∗ F (u)) f (u) on RN where s∈(0, 1), N≥ 2 …

We introduce a fractional magnetic pseudorelativistic operator for a general fractional order
$ s\in (0, 1) $. First we define a suitable functional setting and we prove some fundamental …

This paper is concerned with a class of fractional Schrödinger equation with Hardy potential
(−) su+ V (x) u− κ| x| 2s u= f (x, u), x∈ RN, where s∈(0, 1) and κ⩾ 0 is a parameter. Under …

We consider the following X‐ray free electron lasers Schrödinger equation (i∇− A) 2 u+ V
(x) u− μ| x| u= 1| x|∗| u| 2 u− K (x)| u| q− 2 u, x∈ ℝ 3,\left (i ∇-A\right) &# x0005E; 2u&# …

The purpose of this thesis is to show the results obtained for three Schrödinger type elliptic
partial differential equations. These equations, although sharing the feature of being entire …