Linear Poisson Equations with Potential on Riemann Surfaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915602216517632 |
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| author | Li, Jiayu Zhu, Xiangrong |
| author_facet | Li, Jiayu Zhu, Xiangrong |
| contents | We study interior estimates for solutions of the linear Poisson equation: $$ \triangle u = g u + f $$ where $g$ and $f$ belong to the Zygmund space $L\ln L$ on a Riemann surface $M$ satisfying the isoperimetric inequality. As applications, we derive corresponding interior estimates, Harnack inequalities, and a global estimate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04323 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear Poisson Equations with Potential on Riemann Surfaces Li, Jiayu Zhu, Xiangrong Differential Geometry Classical Analysis and ODEs 35J15, 58J10 We study interior estimates for solutions of the linear Poisson equation: $$ \triangle u = g u + f $$ where $g$ and $f$ belong to the Zygmund space $L\ln L$ on a Riemann surface $M$ satisfying the isoperimetric inequality. As applications, we derive corresponding interior estimates, Harnack inequalities, and a global estimate. |
| title | Linear Poisson Equations with Potential on Riemann Surfaces |
| topic | Differential Geometry Classical Analysis and ODEs 35J15, 58J10 |
| url | https://arxiv.org/abs/2511.04323 |