A Morse Lemma for degenerate critical points of solutions of nonlinear equations in $\R^2$
Massimo Grossi (Rom)
- https://www.uni-giessen.de/de/fbz/fb07/fachgebiete/mathematik/mathematik/kalender/2018/2018-07-06b
- A Morse Lemma for degenerate critical points of solutions of nonlinear equations in $\R^2$
- 2018-07-06T17:15:00+02:00
- 2018-07-06T18:00:00+02:00
- Massimo Grossi (Rom)
Wann
06.07.2018 von 17:15 bis 18:00 (Europe/Berlin / UTC200)
Wo
Hörsaal (Raum 111, 1. Stock) im Mathematischen Institut, Arndtstraße 2
Termin zum Kalender hinzufügen
Abstract:
We prove a Morse Lemma for degenerate critical points of a function u which satisfies
\Delta u=f(u) in B_1,
where B_1 is the unit ball of R^2. Moreover if u admits only one critical point we prove some result about the nondegeneracy of the maximum of u and the shape of the level sets of u.