R. Molle

activity

20132026

most citedNormalized positive solutions for Schrödinger equations with potentials in unbounded domains

9 citations · 20 across the 18 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

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 $\…