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math.AP2025
An extension of Cabré-Chanillo theorem to the -laplacian
Massimo Grossi, Luigi Montoro, Berardino Sciunzi +1
In this paper, we study the critical points of stable solutions for the following -laplacian equation \begin{equation*} \begin{cases} -div\big(|\nabla u|^{p-2}\nabla u\big)=f(u)…
math.AP2025
Low regularity results for degenerate Poisson problems
Marta Calanchi, Massimo Grossi
In this paper we study the Poisson problem, \[ \begin{cases} -{\rm div}(d^β\nabla u)=f&{\rm in}\ Ω\\ u=0&{\rm on}\ \partialΩ, \end{cases} \] where , is…
math.AP2024
On the critical points of solutions of Robin boundary problems
Fabio De Regibus, Massimo Grossi
In this paper we prove the uniqueness of the critical point for stable solutions of the Robin problem \[ \begin{cases} -Δu=f(u)&\text{in }Ω\\ u>0&\text{in }Ω\\ \partial_νu+βu=0&\te…