most citedNon-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two

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math.AP2021★ 1 cited

Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two

Massimo Grossi, Isabella Ianni, Peng Luo +1

We are concerned with the Lane-Emden problem \begin{equation*} \begin{cases} -Δu=u^{p} &{\text{in}~Ω},\\[0.5mm] u>0 &{\text{in}~Ω},\\[0.5mm] u=0 &{\text{on}~\partial Ω}, \end{cases…