Comparison results for Poisson equation with mixed boundary condition on manifolds
Differential Geometry
2022-11-11 v3 Analysis of PDEs
Abstract
In this article, we establish a estimate for solutions to Poisson equation with mixed boundary condition, on complete noncompact manifolds with nonnegative Ricci curvature and compact manifolds with positive Ricci curvature respectively. On Riemann surfaces we obtain a Talenti-type comparison. Our results generalize main theorems in [2] to Riemannian setting, and Chen-Li's result [8] to the case of variable Robin parameter.
Keywords
Cite
@article{arxiv.2110.06814,
title = {Comparison results for Poisson equation with mixed boundary condition on manifolds},
author = {Haiqing Cheng and Tengfei Ma and Kui Wang},
journal= {arXiv preprint arXiv:2110.06814},
year = {2022}
}
Comments
All comments are welcome! In this version, we corrected some typos