44 citations · 128 across the 34 of their papers we have counts for
3 papers · 2 filters
On the number of peaks of the eigenfunctions of the linearized Gel'fand problem
Francesca Gladiali, Massimo Grossi, Hiroshi Ohtsuka
We derive a second order estimate for the first m eigenvalues and eigenfunctions of the linearized Gel'fand problem associated to solutions which blow-up at m points. This allows u…
Symmetry breaking and Morse index of solutions of nonlinear elliptic problems in the plane
Francesca Gladiali, Massimo Grossi, Sérgio Neves
In this paper we study the problem -Δu =\left(\frac{2+α}{2}\right)^2\abs{x}^αf(λ,u), & \hbox{in}B_1 \\ u > 0, & \hbox{in}B_1 u = 0, & \hbox{on} \partial B_1 where is the unit…
Nonradial solutions for the Hénon equation in
Francesca Gladiali, Massimo Grossi, Sérgio Neves
In this paper we consider the problem $$ {ll} -Δu=(N+\a)(N-2)|x|^{\a}u^\frac{N+2+2\a}{N-2} & in R^N u>0& in R^N u\in D^{1,2}(R^N). $$ where . From the characterization of th…