The purpose of these pages is to collect a set of notes that are a result of several talks and
minicourses delivered here and there in the world (Milan, Cortona, Pisa, Roma, Santiago del …

In this paper, we study the existence of ground state solutions for the nonlinear fractional
Schrödinger–Poisson system with critical Sobolev exponent {(− Δ) s u+ V (x) u+ ϕ u= μ| u| q …

The aim of this book is to collect a set of results concerning nonlinear Schrödinger equations
in the whole space driven by fractional operators. The material presented here was mainly …

We consider here solutions of the nonlinear fractional Schr¨ odinger equation ε2s (−) su+ V
(x) u= up. We show that concentration points must be critical points for V. We also prove that …

In this paper, we investigate the existence of solutions for critical Schrödinger–Kirchhoff type
systems driven by nonlocal integro–differential operators. As a particular case, we consider …

In this paper, we study the multiplicity and concentration of solutions for the following critical
fractional Schrödinger–Poisson system:\begin {eqnarray*}\left\{\begin …

We study the existence and concentration of positive solutions for the following class of
fractional p-Kirchhoff type problems: where ɛ is a small positive parameter, a and b are …

In this paper we study the concentration phenomenon of solutions for the nonlinear
fractional Schrödinger equation ε 2 s (− Δ) s u+ V (x) u= K (x)| u| p− 1 u, x∈ RN, where ε is a …

In this paper, we study the existence of ground state solutions for the non-linear fractional
Schrödinger–Poisson system (-Δ) su+ V (x) u+ ϕ u=| u| p-1 u, in R 3,(-Δ) s ϕ= u 2, in R 3 …

This paper deals with the existence of infinitely many solutions for a new class of
Schrödinger–Kirchhoff type equations of the form M\left (u _ s, p^ p+ ∫ _\mathbb R^ NV (x) …