98 citations · 695 across the 42 of their papers we have counts for
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Regularity and Pohozaev identity for the Choquard equation involving the -Laplacian operator
Vincenzo Ambrosio
In this paper, we study the regularity of weak solutions for a class of nonlinear Choquard equations driven by the -Laplacian operator. We also establish a Pohozaev type identit…
On the Pohozaev identity for the fractional -Laplacian operator in
Vincenzo Ambrosio
In this paper, we show the existence of a nontrivial weak solution for a nonlinear problem involving the fractional -Laplacian operator and a Berestycki-Lions type nonlinearity.…
Concentration phenomena for fractional magnetic NLS equations
Vincenzo Ambrosio
We study the multiplicity and concentration of complex valued solutions for a fractional magnetic Schrödinger equation involving a scalar continuous electric potential satisfying a…
Concentration phenomena for a fractional relativistic Schrödinger equation with critical growth
Vincenzo Ambrosio
In this paper, we are concerned with the following fractional relativistic Schrödinger equation with critical growth: \begin{equation*} \left\{ \begin{array}{ll} (-Δ+m^{2})^{s}u +…
Multiplicity and concentration results for a -Laplacian problem in
Vincenzo Ambrosio, Dušan D. Repovš
In this paper we study the multiplicity and concentration of positive solutions for the following -Laplacian problem: \begin{equation*} \left\{ \begin{array}{ll} -Δ_{p} u -…
The nonlinear fractional relativistic Schrödinger equation: existence, multiplicity, decay and concentration results
Vincenzo Ambrosio
In this paper we study the following class of fractional relativistic Schrödinger equations: \begin{equation*} \left\{ \begin{array}{ll} (-Δ+m^{2})^{s}u + V(\varepsilon x) u= f(u)…