4 papers
Uniqueness and nondegeneracy of positive solutions to elliptic equations with Robin boundary conditions
Mengyao Chen, Massimo Grossi, Qi Li
In this paper, we study the uniqueness of positive solutions to the semilinear elliptic Robin problem $$ \begin{cases} -Îu = u^p, & \text{in } Ω,\\ u > 0, & \text{in } Ω,\\ \fra…
Asymptotic behavior of solutions to elliptic problems with Robin boundary conditions
Mengyao Chen, Massimo Grossi, Qi Li
In this paper, we investigate the asymptotic behavior, as , of positive solutions to the semilinear elliptic Robin problem \begin{equation*} \begin{cases} -Îu = u^p, & \t…
Lane-Emden Problems on Convex Domains of
Massimo Grossi, Luigi Provenzano, Daniel Raom
We study positive solutions of the Dirichlet problem in a uniformly convex domain , on For , we assume that the right-…
Bifurcations in Isoperimetric Problems with Nonlocal Interactions
Fabio De Regibus, Massimo Grossi, Monica Musso
We study isoperimetric problems modeled on the liquid drop model, with nonlocal interactions under a volume constraint. While balls are natural critical points, we show that, for a…