A note on improved differentiability for the Banach-space valued Finsler $\gamma $-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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2023-10-01
|
| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.474/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825206261920038912 |
|---|---|
| author | Goering, Max Koch, Lukas |
| author_facet | Goering, Max Koch, Lukas |
| author_sort | Goering, Max |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b89c74cf98d4485da5d391704c99d51d |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-b89c74cf98d4485da5d391704c99d51d2025-02-07T11:09:55ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-10-01361G71091110510.5802/crmath.47410.5802/crmath.474A note on improved differentiability for the Banach-space valued Finsler $\gamma $-LaplacianGoering, Max0Koch, Lukas1MPI for Mathematics in the Sciences, Inselstrasse 22, 04177 Leipzig, GermanyMPI for Mathematics in the Sciences, Inselstrasse 22, 04177 Leipzig, GermanyWe 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.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.474/ |
| spellingShingle | Goering, Max Koch, Lukas A note on improved differentiability for the Banach-space valued Finsler $\gamma $-Laplacian Comptes Rendus. Mathématique |
| title | A note on improved differentiability for the Banach-space valued Finsler $\gamma $-Laplacian |
| title_full | A note on improved differentiability for the Banach-space valued Finsler $\gamma $-Laplacian |
| title_fullStr | A note on improved differentiability for the Banach-space valued Finsler $\gamma $-Laplacian |
| title_full_unstemmed | A note on improved differentiability for the Banach-space valued Finsler $\gamma $-Laplacian |
| title_short | A note on improved differentiability for the Banach-space valued Finsler $\gamma $-Laplacian |
| title_sort | note on improved differentiability for the banach space valued finsler gamma laplacian |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.474/ |
| work_keys_str_mv | AT goeringmax anoteonimproveddifferentiabilityforthebanachspacevaluedfinslergammalaplacian AT kochlukas anoteonimproveddifferentiabilityforthebanachspacevaluedfinslergammalaplacian AT goeringmax noteonimproveddifferentiabilityforthebanachspacevaluedfinslergammalaplacian AT kochlukas noteonimproveddifferentiabilityforthebanachspacevaluedfinslergammalaplacian |