Chiti-type Reverse Hölder Inequality and Torsional Rigidity Under Integral Ricci Curvature Condition

被引：0
作者：
Hang Chen
机构：
[1] Northwestern Polytechnical University,School of Mathematics and Statistics
来源：
Potential Analysis | 2022年 / 56卷
关键词：
Isoperimetric inequalities; Eigenfunction; Integral Ricci curvature; Reverse Hölder inequality; Torsional rigidity; 35P15; 53C21; 58J60; 60J65;
D O I：
暂无
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学科分类号：
摘要：
In this paper, we prove a reverse Hölder inequality for the eigenfunction of the Dirichlet problem on domains of a compact Riemannian manifold with the integral Ricci curvature condition. We also prove an isoperimetric inequality for the torsional rigidity of such domains. These results extend some recent work of Gamara et al. (Open Math. 13(1), 557–570, 2015) and Colladay et al. (J. Geom. Anal. 28(4), 3906–3927, 2018) from the pointwise lower Ricci curvature bound to the integral Ricci curvature condition. We also extend the results from Laplacian to p-Laplacian.
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页码：333 / 349
页数：16
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