The First International Congress of Basic Science (ICBS)

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Xavier Cabre

Affiliation / Organization：

Institució Catalana de Recerca i Estudis Avançats (ICREA) & Universitat Politècnica de Catalunya

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Abstracts：1

350

Date	Time	Local Time	Room	Session	Role	Topic
2023-07-19	16:15-17:00	2023-07-19,16:15-17:00	LR7 (A3-4 1F)	07-19 Afternoon Math Lecture Room 7 (A3-4 1F)	Speaker	Stable solutions to semilinear elliptic equations are smooth up to dimension 9 The regularity of stable solutions to semilinear elliptic PDEs has been studied since the 1970's. Our work solves an open problem posed by Brezis in the mid-nineties by proving 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 corresponding interior and boundary regularity results.