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New trends in Partial Differential Equations

Entire solutions and spiralling asymptotic profiles of competition-diffusion systems

speaker: Susanna Terracini (Università di Torino)

abstract: In this talk we consider solutions of the competitive elliptic system \begin{equation}\label{syst 1} \begin{cases} -\Delta u_i = - \beta \sum_{j \neq i} a_{ij} u_i u_j & \text{in $\Omega\subset {\bf R}^N$} \\ u_i =g & \text{in $\partial\Omega$} \end{cases} \qquad i=1,\dots,k, \end{equation} and their asymptotic profiles when $\beta\to+\infty$. We shall focus our attention on the asymmetric case: $a_{ij}\neq a_{ji}$. This is a joint result with A. Salort, G. Verzini, A. Zilio.

timetable:
Fri 7 Oct, 9:30 - 10:15, Aula Dini
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