25 citations · 82 across the 22 of their papers we have counts for
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math.AP2014★ 5 cited
Morse index and sign changing bubble towers for Lane-Emden problems
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider the semilinear Lane-Emden problem \begin{equation}\label{problemAbstract}\left\{ \begin{array}{lr} -Δu= |u|^{p-1}u\qquad \mbox{ in }Ω\\ u=0\qquad\qquad\qquad\mbox{ on }…
math.AP2014
Blow-up for sign-changing solutions of the critical heat equation in domains with a small hole
I. Ianni, M. Musso, A. Pistoia
We consider the critical heat equation \begin{equation} \label{CH}\tag{CH} \begin{array}{lr} v_t-Δv =|v|^{\frac{4}{n-2}}v & Ω_ε\times (0, +\infty) \\ v=0 & \partialΩ_ε\times (0, +\…
math.AP2014
Blow up of solutions of semilinear heat equations in non radial domains of
Francesca De Marchis, Isabella Ianni
We consider the semilinear heat equation \begin{equation}\label{problemAbstract}\left\{\begin{array}{ll}v_t-Δv= |v|^{p-1}v & \mbox{in}Ω\times (0,T)\\ v=0 & \mbox{on}\partial Ω\time…