Stable solutions to semilinear elliptic equations
Alessio Figalli (ETH Zurich)
05-Nov-2020, 14:00-14:50 (3 years ago)
Abstract: Stable 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 solutions. 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 are smooth. This answers also a famous open problem posed by Brezis, concerning the regularity of extremal solutions to the Gelfand problem.
analysis of PDEs
Audience: researchers in the topic
( paper )
Organizer: | Quoc-Hung Nguyen* |
*contact for this listing |
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