A note on improved differentiability for the Banach-space valued Finsler $\gamma $-Laplacian

Autor: Goering, Max, Koch, Lukas
Jazyk: English<br />French
Rok vydání: 2023
Předmět:
Zdroj: Comptes Rendus. Mathématique, Vol 361, Iss G7, Pp 1091-1105 (2023)
Druh dokumentu: article
ISSN: 1778-3569
DOI: 10.5802/crmath.474
Popis: We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler $\gamma $-Laplacian defined on a $\sigma $-convex, $\tau $-smooth Banach space. The operators we consider are non-linear and very degenerately elliptic. Our results are new already in the $\mathbb{R}$-valued setting.
Databáze: Directory of Open Access Journals