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

Goering, Max; Koch, Lukas

Comptes Rendus. Mathématique, Tome 361 (2023) no. G7, pp. 1091-1105

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 $ℝ$-valued setting.

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