D. Passaseo

activity

20132022

most citedInfinitely many positive solutions of nonlinear Schrodinger equations

6 citations · 10 across the 6 of their papers we have counts for

collaborators

7 papers

math.AP2022★ 3 cited

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,…

math.AP2021

Infinitely many solutions for elliptic equations with non-symmetric nonlinearities

Riccardo Molle, Donato Passaeo

We deal with the existence of infinitely many solutions for a class of elliptic problems with non-symmetric nonlinearities. Our result, which is motivated by a well known conjectur…

math.AP2019★ 6 cited

Infinitely many positive solutions of nonlinear Schrodinger equations

Riccardo Molle, Donato Passaseo

The paper deals with the equation $- Δ u + a (x) u = ∣ u ∣^{p - 1} u$ , $u \in H^{1} (R^{N})$ , with $N \geq 2$ , $p > 1, p < \frac{N + 2}{N - 2}$ if $N \geq 3$ , $a \in L_{l oc}^{N /2} (R^{N})$ , $\i…

math.AP2019★ 1 cited

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 $Ω$ is a bounded…

math.AP2019

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 $Ω$ is a bounded domain of $R^{n}$ , $n \geq 3$ , and $f$ has sup…

math.AP2019

Nonexistence of solutions for elliptic equations with supercritical nonlinearity in nearly nontrivial domains

Riccardo Molle, Donato Passaseo

We deals with nonlinear elliptic Dirichlet problems of the form $${\rm div}(|D u|^{p-2}D u )+f(u)=0\quad\mbox{ in }Ω,\qquad u\in H^{1,p}_0(Ω) $$ where $Ω$ is a bounded domain in $\…

math.AP2013

Multiple Solutions for Scalar Field Equations with Potentials having "Subsidences"

Giovanna Cerami, Riccardo Molle, Donato Passaseo

In this paper the question of finding infinitely many solutions to the problem $- Δ u + a (x) u = ∣ u ∣^{p - 2} u$ , in $R^{N}$ , $u \in H^{1} (R^{N})$ , is considered when $N \geq 2$ , $…