9 citations · 20 across the 18 of their papers we have counts for
4 papers · 1 filter
Standing waves for two-component elliptic system with critical growth in : the attractive case
Lun Guo, Qi Li, Xiao Luo +1
In this paper, we consider the following two-component elliptic system with critical growth \begin{equation*} \begin{cases} -Δu+(V_1(x)+λ)u=μ_1u^{3}+βuv^{2}, \ \ x\in \mathbb{R}^4,…
Normalized positive solutions for Schrödinger equations with potentials in unbounded domains
Sergio Lancelotti, Riccardo Molle
The paper deals with the existence of positive solutions with prescribed norm for the Schrödinger equation $$ -Δu+λu+V(x)u=|u|^{p-2}u,\qquad u\in H^1_0(Ω),\quad\int_Ωu^2dx=ρ^…
On a planar Schrödinger-Poisson system involving a non-symmetric potential
Riccardo Molle, Andrea Sardilli
We prove the existence of a ground state positive solution of Schrödinger-Poisson systems in the plane of the form $$ -Δu + V(x)u + \fracγ{2π} \left(\log|\cdot| \ast u^2 \right)u =…
Variational properties of the first curve of the Fuč\'ık spectrum for elliptic operators
Riccardo Molle, Donato Passaseo
In this paper we present a new variational characteriztion of the first nontrival curve of the Fuč\'ık spectrum for elliptic operators with Dirichlet boundary conditions. Moreover,…