9 citations · 19 across the 10 of their papers we have counts for
10 papers
The -Laplacian overdetermined problem on Riemannian manifolds
Qihua Ruan, Qin Huang, Fan Chen
In this paper, we study the overdetermined problem for the -Laplacian equation on complete noncompact Riemannian manifolds with nonnegative Ricci curvature. We prove that the re…
A local pointwise inequality for a biharmonic equation with negative exponents
Fan Chen, Jianqing Chen, Qihua Ruan
In this paper, we are inspired by Ngô, Nguyen and Phan's [15] study of the pointwise inequality for positive -solutions of biharmonic equations with negative exponent by usi…
Liouville's theorem for the generalized harmonic function
Weihua Wang, Qihua Ruan
In this paper, we give a more physical proof of Liouville's theorem for a class generalized harmonic functions by the method of parabolic equation.
Applications of Some Elliptic Equations in Riemannian Manifolds
Qin Huang, Qihua Ruan
Let be a compact Riemannian manifold with smooth boundary B and nonnegative Bakry-Emery Ricci curvature. In this paper, we use the solvability of some elliptic equat…
Gradient estimates for a nonlinear diffusion equation on complete manifolds
Jia-Yong Wu
Let be a complete non-compact Riemannian manifold with the -dimensional Bakry-Émery Ricci curvature bounded below by a non-positive constant. In this paper, we give a lo…
An Elliptic Type Gradient Estimate For the Schrödinger Equation
Qihua Ruan
In this paper, the author discusses the elliptic type gradient estimate for the solution of the time-dependent Schrödinger equations on noncompact manifolds. As its application, th…