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A note on improved differentiability for the Banach-space valued Finsler γ-Laplacian
Goering, Max1 ; Koch, Lukas1
1 MPI for Mathematics in the Sciences, Inselstrasse 22, 04177 Leipzig, Germany
Comptes Rendus. Mathématique, Tome 361 (2023) no. G7, pp. 1091-1105

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We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler γ-Laplacian defined on a σ-convex, τ-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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DOI : 10.5802/crmath.474

Goering, Max 1 ; Koch, Lukas 1

1 MPI for Mathematics in the Sciences, Inselstrasse 22, 04177 Leipzig, Germany
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     author = {Goering, Max and Koch, Lukas},
     title = {A note on improved differentiability for the {Banach-space} valued {Finsler} $\gamma ${-Laplacian}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1091--1105},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {361},
     number = {G7},
     year = {2023},
     doi = {10.5802/crmath.474},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/crmath.474/}
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Goering, Max; Koch, Lukas. A note on improved differentiability for the Banach-space valued Finsler $\gamma $-Laplacian. Comptes Rendus. Mathématique, Tome 361 (2023) no. G7, pp. 1091-1105. doi: 10.5802/crmath.474

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