18 citations · 107 across the 28 of their papers we have counts for
4 papers · 1 filter
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…
Bifurcation and symmetry breaking for the Hénon equation
Anna Lisa Amadori, Francesca Gladiali
In this paper we consider the Hénon problem in a ball. We prove the existence of (at least) one branch of nonradial solutions that bifurcate from the radial ones and that this bran…
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…