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SUMMARY:Alessio Figalli (ETH Zurich)
DTSTART:20201105T140000Z
DTEND:20201105T145000Z
DTSTAMP:20260423T052502Z
UID:IMS/68
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/68/">Sta
 ble solutions to semilinear elliptic equations</a>\nby Alessio Figalli (ET
 H Zurich) as part of PDE seminar via Zoom\n\n\nAbstract\nStable solutions 
 to semilinear elliptic PDEs appear in several problems. It is known since 
 the 1970’s that\, in dimension n > 9\, there exist singular stable solut
 ions. In this talk I will describe a recent work with Cabr\\'e\, Ros-Oton\
 , and Serra\, where we prove that stable solutions in dimension n ≤ 9 ar
 e smooth. This answers also a famous open problem posed by Brezis\, concer
 ning the regularity of extremal solutions to the Gelfand problem.\n
LOCATION:https://researchseminars.org/talk/IMS/68/
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