3 citations · 4 across the 4 of their papers we have counts for
10 papers
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,…
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,…
Normalized solutions to mass supercritical Schrodinger equations with negative potential
Riccardo Molle, Giuseppe Riey, Gianmaria Verzini
We study the existence of positive solutions with prescribed -norm for the Schrödinger equation \[ -Δu-V(x)u+λu=|u|^{p-2}u\qquadλ\in \mathbb{R},\quad u\in H^1(\mathbb{R}^N), \…
Infinitely many positive solutions of nonlinear Schrodinger equations
Riccardo Molle, Donato Passaseo
The paper deals with the equation , , with , if , , $\i…
Uniqueness of solutions for nonlinear Dirichlet problems with supercritical growth
Riccardo Molle, Donato Passaseo
We are concerned with Dirichlet problems of the form $${\mathop{\rm div}\nolimits} (|D u|^{p-2}Du)+f(u)=0\ \mbox{ in }Ω,\qquad u=0\ \mbox{ on }\partialΩ, $$ where is a bounded…
Nonexistence of solutions for Dirichlet problems with supercritical growth in tubular domains
Riccardo Molle, Donato Passaseo
We deal with Dirichlet problems of the form $$ Δu+f(u)=0 \mbox{ in }Ω,\qquad u=0\ \mbox{ on }\partial Ω$$ where is a bounded domain of , , and has sup…