Regularity for monotone Operators and applications to homogenization of $p$-Laplace type equations
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909595547467776 |
|---|---|
| author | Koch, Lukas Schäffner, Mathias |
| author_facet | Koch, Lukas Schäffner, Mathias |
| contents | In this manuscript, we provide local $L^q$-estimates for the gradient of solutions of a class of quasilinear equations whose principal part lacks strong monotonicity.
These estimates are used to establish uniform large-scale $L^q$-estimates for the gradient of solutions of degenerate/singular quasilinear equations with oscillating coefficients and large-scale Lipschitz estimates for solutions of non-degenerate equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_18401 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regularity for monotone Operators and applications to homogenization of $p$-Laplace type equations Koch, Lukas Schäffner, Mathias Analysis of PDEs In this manuscript, we provide local $L^q$-estimates for the gradient of solutions of a class of quasilinear equations whose principal part lacks strong monotonicity. These estimates are used to establish uniform large-scale $L^q$-estimates for the gradient of solutions of degenerate/singular quasilinear equations with oscillating coefficients and large-scale Lipschitz estimates for solutions of non-degenerate equations. |
| title | Regularity for monotone Operators and applications to homogenization of $p$-Laplace type equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2504.18401 |