98 citations · 695 across the 42 of their papers we have counts for
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Infinitely many periodic solutions for a class of fractional Kirchhoff problems
Vincenzo Ambrosio
We prove the existence of infinitely many nontrivial weak periodic solutions for a class of fractional Kirchhoff problems driven by a relativistic Schrödinger operator with periodi…
Concentrating solutions for a fractional Kirchhoff equation with critical growth
Vincenzo Ambrosio
In this paper we consider the following class of fractional Kirchhoff equations with critical growth: \begin{equation*} \left\{ \begin{array}{ll} \left(\varepsilon^{2s}a+\varepsilo…
Multiplicity and concentration of solutions for a fractional Kirchhoff equation with magnetic field and critical growth
Vincenzo Ambrosio
We investigate the existence, multiplicity and concentration of nontrivial solutions for the following fractional magnetic Kirchhoff equation with critical growth: \begin{equation*…
On a fractional magnetic Schrödinger equation in with exponential critical growth
Vincenzo Ambrosio
We deal with a class of fractional magnetic Schrödinger equations in the whole line with exponential critical growth. Under a local condition on the potential, we use penalization…
On the multiplicity and concentration of positive solutions for a -fractional Choquard equation in
Vincenzo Ambrosio
In this paper we deal with the following fractional Choquard equation \begin{equation*} \left\{ \begin{array}{ll} \varepsilon^{sp}(-Δ)^{s}_{p} u + V(x)|u|^{p-2}u = \varepsilon^{μ-N…
Multiple concentrating solutions for a fractional Kirchhoff equation with magnetic fields
Vincenzo Ambrosio
This paper is concerned with the multiplicity and concentration behavior of nontrivial solutions for the following fractional Kirchhoff equation in presence of a magnetic field: \b…