18 citations · 38 across the 29 of their papers we have counts for
29 papers
Gradient estimates for positive weak solution to on Riemannian manifolds
Guangyue Huang, Qi Guo, Lujun Guo
In this paper, we study gradient estimates for positive weak solutions to the following -Laplacian equation on a Riemannian manifold, where and are t…
Some integral inequalities on weighted Riemannian manifolds with boundary
Guangyue Huang, Mingfang Zhu
In this paper, we continue to study some applications with respect to a Reilly type integral formula associated with the -Laplacian. Some inequalities of Brascamp-Lieb type and…
A Reilly type integral formula and its applications
Guangyue Huang, Bingqing Ma, Mingfang Zhu
In this paper, we achieve a Reilly type integral formula associated with the -Laplacian. As its applications, we obtain Heintze-Karcher and Minkowski type inequalities. Furtherm…
Some inequalities between Laplacian eigenvalues on Riemannian manifolds
Guangyue Huang, Xuerong Qi
In this paper, we study a first Dirichlet eigenfunction of the weighted -Laplacian on a bounded domain in a complete weighted Riemannian manifold. By constructing gradient estim…
Some rigidity characterizations of Einstein metrics as critical points for quadratic curvature functionals
Bingqing Ma, Guangyue Huang, Jie Yang
We study rigidity results for the Einstein metrics as the critical points of a family of known quadratic curvature functionals involving the scalar curvature, the Ricci curvature a…
Rigidity of Einstein metrics as critical points of some quadratic curvature functionals on complete manifolds
Guangyue Huang, Yu Chen, Xingxiao Li
In this paper, we consider some rigidity results for the Einstein metrics as the critical points of some known quadratic curvature functionals on complete manifolds, characterized…