221 citations · 455 across the 37 of their papers we have counts for
4 papers · 2 filters
Fractional logarithmic Schrödinger equations
Pietro d'Avenia, Marco Squassina, Marianna Zenari
By means of non-smooth critical point theory we obtain existence of infinitely many weak solutions of the fractional Schrödinger equation with logarithmic nonlinearity. We also inv…
A multiplicity result for Chern-Simons-Schrödinger equation with a general nonlinearity
Patricia L. Cunha, Pietro d'Avenia, Alessio Pomponio +1
In this paper we give a multiplicity result for the following Chern-Simons-Schrödinger equation \[ -Δu+2q u \int_{|x|}^{\infty}\frac{u^{2}(s)}{s}h_u(s)ds +q u\frac{h^{2}_u(|x|)}{|x…
On fractional Choquard equations
Pietro d'Avenia, Gaetano Siciliano, Marco Squassina
We investigate a class of nonlinear Schrodinger equations with a generalized Choquard nonlinearity and fractional diffusion. We obtain regularity, existence, nonexistence, symmetry…
Positive ground states for a system of Schrödinger equations with critically growing nonlinearities
Pietro d'Avenia, Jarosław Mederski
We study the following problem \[ \begin{cases} -Δu = λu + u^{2^*-2} v & \hbox{in} Ω,\\ -Δv= μv^{2^*-1} + u^{2^*-1} & \hbox{in} Ω,\\ u> 0,v> 0 & \hbox{in} Ω,\\ u=v=0 & \hbox{on} \p…