44 citations · 128 across the 34 of their papers we have counts for
4 papers · 2 filters
Sharp concentration estimates near criticality for radial sign-changing solutions of Dirichlet and Neumann problems
Massimo Grossi, Alberto Saldaña, Hugo Tavares
We consider radial solutions of the slightly subcritical problem either on () or…
A Morse Lemma for degenerate critical points of solutions of nonlinear equations in
Massimo Grossi
In this paper we prove a Morse Lemma for degenerate critical points of a function u which satisfies -Δu=f(u) in B_1, where B_1 is the unit ball of R^2 and f is a smooth nonlinearit…
Morse index and uniqueness of positive solutions of the Lane-Emden problem in planar domains
Francesca De Marchis, Massimo Grossi, Isabella Ianni +1
We compute the Morse index of -spike solutions of the semilinear elliptic problem \begin{equation}\label{abstr} \tag{} \begin{cases} -Δu= u^p & \text{in } \\ u=…
Asymptotic analysis and energy quantization for the Lane-Emden problem in dimension two
Francesca De Marchis, Massimo Grossi, Isabella Ianni +1
We complete the study of the asymptotic behavior, as , of the positive solutions to \[ \left\{\begin{array}{lr}-Δu= u^p & \mbox{in}Ω\\ u=0 &\mbox{on}\partial…