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Session 11. Geometric Analysis and Related Topics |
The supercritical Lane-Emden equation and its gradient flow |
| Michael Struwe, ETH Zürich, Switzerland |
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In joint work with Simon Blatt and Melanie Rupflin we lay out a functional analytic framework for
the Lane-Emden equation \(-\Delta u = u|u|^{p-2}\) in the supercritical regime when \(p>\frac{2n}{n-2}\) and
establish Morrey estimates for solutions to the heat flow as well as existence of partially regular tangent maps
at blow-up points.
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