$C^{1,α}$-Regularity of Quasilinear equations on the Heisenberg Group
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866915374547599360 |
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| author | Mukherjee, Shirsho |
| author_facet | Mukherjee, Shirsho |
| contents | In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group. The considered cases encompass a very wide class of equations with isotropic growth conditions that are generalizations of the $p$-Laplacian type equation and also include equations with polynomial or exponential type growth. Some more general conditions have also been explored. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1805_03748 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | $C^{1,α}$-Regularity of Quasilinear equations on the Heisenberg Group Mukherjee, Shirsho Analysis of PDEs 35R03, 35J62, 35J70, 35J75 In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group. The considered cases encompass a very wide class of equations with isotropic growth conditions that are generalizations of the $p$-Laplacian type equation and also include equations with polynomial or exponential type growth. Some more general conditions have also been explored. |
| title | $C^{1,α}$-Regularity of Quasilinear equations on the Heisenberg Group |
| topic | Analysis of PDEs 35R03, 35J62, 35J70, 35J75 |
| url | https://arxiv.org/abs/1805.03748 |