3 papers
math.AP2024
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.…
math.AP2024
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…
math.AP2024
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} (-Î+m^{2})^{s}u…