Massimo Grossi

activity

20032026

most citedMultiple blow-up phenomena for the sinh-Poisson equation

44 citations · 128 across the 34 of their papers we have counts for

collaborators

Showing 2019 · math.APShow all

4 papers · 2 filters

math.AP2019★ 1 cited

Asymptotic behavior of minimal solutions of $- Δ u = λ f (u)$ as $λ \to - \infty$

Luca Battaglia, Francesca Gladiali, Massimo Grossi

We consider the Dirichlet problem $- Δ u = λ f (u)$ with $λ < 0$ and $f$ non-negative and non-decreasing. We show existence and uniqueness of solutions $u_{λ}$ for any $λ$ and discuss their…

math.AP2019★ 3 cited

On the number of critical points of solutions of semilinear equations in $R^{2}$

Francesca Gladiali, Massimo Grossi

In this paper we construct families of bounded domains $Ω_{ε}$ and solutions $u_{ε}$ of \[\begin{cases} -Δu_\varepsilon=1&\text{ in }\ Ω_\varepsilon\\ u_\varepsilon…

math.AP2019

Bubbling nodal solutions for a large perturbation of the Moser-Trudinger equation on planar domains

Massimo Grossi, Gabriele Mancini, Daisuke Naimen +1

In this work we study the existence of nodal solutions for the problem $- Δ u = λ u e^{u^{2} + ∣ u ∣^{p}} in Ω, u = 0 on \partial Ω,$ where $Ω \subseteq R^{2}$ is…

math.AP2019

Non-uniqueness of blowing-up solutions to the Gelfand problem

Luca Battaglia, Massimo Grossi, Angela Pistoia

We consider the Gelfand problem on a planar domain. Under some conditions on the potential, we provide the first examples of multiplicity for blowing-up solutions at a given point…

Asymptotic behavior of minimal solutions of −Δu=λf(u) as λ→−∞

On the number of critical points of solutions of semilinear equations in R2

Bubbling nodal solutions for a large perturbation of the Moser-Trudinger equation on planar domains

Non-uniqueness of blowing-up solutions to the Gelfand problem

Asymptotic behavior of minimal solutions of $- Δ u = λ f (u)$ as $λ \to - \infty$

On the number of critical points of solutions of semilinear equations in $R^{2}$