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Talk

The supercritical Lane-Emden equation and its gradient flow

  • Michael Struwe (ETH Zurich, Switzerland)
G3 10 (Lecture hall)

Abstract

Colloquium on the occasion of Wolfgang Hackbuschs retirement.In joint work with Simon Blatt and Melanie Rupflin we lay out a functional analytic framework for the Lane-Emden equation $-\Delta u = u|u|^{p-2}$ on an $n$-dimensional domain, $n\ge 3$, in the supercritical regime when $p>\frac{2n}{n-2}$ and study the associated gradient flow.

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Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail