A new proof of Hölder estimates for the gradient of quasilinear elliptic equations
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916915889307648 |
|---|---|
| author | Li, Dongsheng Lyu, Yasheng |
| author_facet | Li, Dongsheng Lyu, Yasheng |
| contents | In this paper, we give a new proof of Hölder estimates for the gradient of quasilinear elliptic equations, using a covering method inspired by the proof of Evans-Krylov theorem for fully nonlinear elliptic equations. Moreover, Hölder estimates for the gradient of fully nonlinear elliptic equations are also obtained by the same method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17875 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new proof of Hölder estimates for the gradient of quasilinear elliptic equations Li, Dongsheng Lyu, Yasheng Analysis of PDEs In this paper, we give a new proof of Hölder estimates for the gradient of quasilinear elliptic equations, using a covering method inspired by the proof of Evans-Krylov theorem for fully nonlinear elliptic equations. Moreover, Hölder estimates for the gradient of fully nonlinear elliptic equations are also obtained by the same method. |
| title | A new proof of Hölder estimates for the gradient of quasilinear elliptic equations |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.17875 |