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 …

In this paper, we study the existence and concentration behavior of ground state solutions
for a class of Schrödinger-Poisson equation with a parameter ɛ> 0. Under some suitable …

By using the penalization method and the Ljusternik–Schnirelmann theory, we investigate
the multiplicity of positive solutions of the following fractional Schrödinger equation ε^ 2s …

In this paper, we investigate the multiplicity of solutions for a class of noncooperative
Schrödinger systems in RN. The systems involves a variable exponent elliptic operators with …

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 …

This paper is concerned with the multiplicity and concentration of positive solutions for the
nonlinear Schrödinger–Poisson equations\left {-ε^ 2\triangle u+ V (x) u+ ϕ (x) u= f (u) &\rm …

We study the multiplicity of concentrating solutions for the following class of (p, q)-Laplacian
problems {− Δ pu− Δ qu+ V (ε x)(up− 1+ uq− 1)= f (u)+ γ uq∗− 1 in ℝ N, u∈ W 1, p (ℝ N)∩ W …

EXISTENCE OF SOLUTIONS FOR P-KIRCHHOFF TYPE PROBLEMS WITH CRITICAL
EXPONENT 1. Introduction and main results We are concerned wi Page 1 Electronic Journal of …

We consider some nonlinear fractional Schrödinger equations with magnetic field and
involving continuous nonlinearities having subcritical, critical or supercritical growth. Under …

In this paper, we complete the study started in Ambrosio and Rădulescu (J Math Pures Appl
(9) 142: 101–145, 2020) on the concentration phenomena for a class of fractional (p, q) …