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DTSTART:20230326T010000
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DTSTART;TZID=Europe/Paris:20230117T093000
DTEND;TZID=Europe/Paris:20230117T123000
DTSTAMP:20260525T012301
CREATED:20220616T103707Z
LAST-MODIFIED:20221129T151831Z
UID:15655-1673947800-1673958600@www.math.ens.psl.eu
SUMMARY:Stable solutions to semilinear elliptic equations are smooth up to dimension 9
DESCRIPTION:The regularity of stable solutions to semilinear elliptic PDEs has been studied since the 1970’s. It was initiated by a work of Crandall and Rabinowitz\, motivated by the Gelfand problem in combustion theory. The theory experienced a revival in the mid-nineties after new progress made by Brezis and collaborators. I will present these developments\, as well as a recent work\, in collaboration with Figalli\, Ros-Oton\, and Serra\, which finally establishes the regularity of stable solutions up to the optimal dimension 9. I will also describe a more recent paper of mine which provides full quantitative proofs of the regularity results.
URL:https://www.math.ens.psl.eu/evenement/expose-du-17-janvier/
LOCATION:ENS – salle W\, 45 rue d'Ulm\, Paris\, 75005\, France
CATEGORIES:Séminaire Analyse non linéaire et EDP
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