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Attaining the best constant in a Hardy-Morrey inequality
Ponente: Ryan Hynd
Institución: University of Pennsylvania
Tipo de Evento: Investigación
Institución: University of Pennsylvania
Tipo de Evento: Investigación
| Cuándo |
25/05/2023 de 12:00 a 13:00 |
|---|---|
| Dónde | Salón de seminarios "Graciela Salicrup" |
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Morrey's inequality measures the Hölder continuity of a function whose gradient belongs to an appropriate Lebesgue space. There has been recent interest in understanding the extremals of Morrey's inequality, which are the functions which saturate the inequality. We present a natural variant of Morrey's inequality on a given domain and discuss the question of whether or not an extremal exists. This is joint work with Simon Larson (Chalmers) and Erik Lindgren (KTH).