D. Passaseo

most citedVariational properties of the first curve of the Fuč\'ık spectrum for elliptic operators

3 citations · 4 across the 3 of their papers we have counts for

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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.AP2019

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 $\…