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math.AP2018
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=…
math.AP2018★ 1 cited
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…