29 citations · 144 across the 45 of their papers we have counts for
4 papers · 2 filters
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…
Concentration and energy invariance for a class of fully nonlinear elliptic equations
Isabeau Birindelli, Giulio Galise, Fabiana Leoni +1
We study the asymptotic behaviour of positive solutions of fully nonlinear elliptic equations in a ball, as the exponent of the power nonlinearity approaches a critical value. We s…
Overdetermined problems and constant mean curvature surfaces in cones
Filomena Pacella, Giulio Tralli
We consider a partially overdetermined problem in a sector-like domain in a cone in , , and prove a rigidity result of Serrin type by showing that th…