Gradient estimates for $(p,V)$-harmonic functions on Riemannian manifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918211392372736 |
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| author | Dong, Yuxin Lin, Hezi Zheng, Weihao |
| author_facet | Dong, Yuxin Lin, Hezi Zheng, Weihao |
| contents | In this paper, we study $(p,V)$-harmonic functions on complete Riemannian manifolds using the Moser iteration method. A volume comparison theorem and a Sobolev embedding theorem are established under the Bakry-$\acute{E}$mery curvature condition. Moreover, we obtain an explicit global gradient estimate for positive entire $(p,V)$-harmonic functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16058 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gradient estimates for $(p,V)$-harmonic functions on Riemannian manifolds Dong, Yuxin Lin, Hezi Zheng, Weihao Differential Geometry Analysis of PDEs In this paper, we study $(p,V)$-harmonic functions on complete Riemannian manifolds using the Moser iteration method. A volume comparison theorem and a Sobolev embedding theorem are established under the Bakry-$\acute{E}$mery curvature condition. Moreover, we obtain an explicit global gradient estimate for positive entire $(p,V)$-harmonic functions. |
| title | Gradient estimates for $(p,V)$-harmonic functions on Riemannian manifolds |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2511.16058 |