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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2210.10006 |
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| _version_ | 1866914763056873472 |
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| author | Miao, Changxing Zhao, Zhiwen |
| author_facet | Miao, Changxing Zhao, Zhiwen |
| contents | The main purpose of this paper is to capture the asymptotic behavior for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting of two power-type weights of different dimensions near the degenerate or singular point, especially covering the weighted $p$-Laplace equations and weighted fast diffusion equations. As a consequence, we also establish the local Hölder estimates for their solutions in the presence of single power-type weights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_10006 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights Miao, Changxing Zhao, Zhiwen Analysis of PDEs The main purpose of this paper is to capture the asymptotic behavior for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting of two power-type weights of different dimensions near the degenerate or singular point, especially covering the weighted $p$-Laplace equations and weighted fast diffusion equations. As a consequence, we also establish the local Hölder estimates for their solutions in the presence of single power-type weights. |
| title | Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2210.10006 |