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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2512.03012 |
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| _version_ | 1866917146399866880 |
|---|---|
| author | Qian, Zhenye |
| author_facet | Qian, Zhenye |
| contents | In this note, we present several seminal developments in the regularity theory of nonlinear (uniformly) elliptic equations, including the De Giorgi-Nash-Moser theory concerning the Hilbert 19th problem and variational equations, as well as the Krylov-Safonov and Evans-Safonov theories for fully nonlinear equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_03012 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Note on Regularity theory for Nonlinear elliptic equations Qian, Zhenye Analysis of PDEs Differential Geometry In this note, we present several seminal developments in the regularity theory of nonlinear (uniformly) elliptic equations, including the De Giorgi-Nash-Moser theory concerning the Hilbert 19th problem and variational equations, as well as the Krylov-Safonov and Evans-Safonov theories for fully nonlinear equations. |
| title | Note on Regularity theory for Nonlinear elliptic equations |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2512.03012 |