4 papers
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)…
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…
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…
On the location of two blow up points on an annulus for the mean field equation
M. Grossi, F. Takahashi
We consider the mean field equation on two-dimensional annular domains, and prove that if and are two blow up points of a blowing-up solution sequence of the equation, then…