A note on improved differentiability for the Banach-space valued Finsler γ -Laplacian

A note on improved differentiability for the Banach-space valued Finsler γ -Laplacian

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 $\mathbb{R}$-val...

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Veröffentlicht in:Comptes rendus. Mathématique 2023-01, Vol.361 (G7), p.1091-1105
Hauptverfasser: Goering, Max, Koch, Lukas
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1778-3569
1778-3569
DOI:10.5802/crmath.474