44 citations · 128 across the 34 of their papers we have counts for
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math.AP2021
On the number of critical points of the second eigenfunction of the Laplacian in convex planar domains
Fabio De Regibus, Massimo Grossi
In this paper we consider the second eigenfunction of the Laplacian with Dirichlet boundary conditions in convex domains. If the domain has \emph{large eccentricity} then the eigen…
math.AP2021★ 1 cited
Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two
Massimo Grossi, Isabella Ianni, Peng Luo +1
We are concerned with the Lane-Emden problem \begin{equation*} \begin{cases} -Δu=u^{p} &{\text{in}~Ω},\\[0.5mm] u>0 &{\text{in}~Ω},\\[0.5mm] u=0 &{\text{on}~\partial Ω}, \end{cases…
math.AP2021
On the number of critical points of stable solutions in bounded strip-like domains
Fabio De Regibus, Massimo Grossi
In this paper we show that there exists a family of domains with , such that the solution of the problem \[ \begin{cases} -Δu…