Search Results for author: Annalisa Amadori

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Morse index computation for radial solutions of the {Hé}non problem in the disk

no code implementations26 Feb 2021 Annalisa Amadori, Francesca De Marchis, Isabella Ianni

We compute the Morse index $\textsf{m}(u_{p})$ of any radial solution $u_{p}$ of the semilinear problem: \begin{equation} \label{problemaAbstract}\tag{P} \left\{ \begin{array}{lr} -\Delta u=|x|^{\alpha}|u|^{p-1}u & \mbox{in } B\\ u=0 & \mbox{ on }\partial B \end{array} \right.

Analysis of PDEs

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