1 citations · 1 across the 4 of their papers we have counts for
4 papers
Eigenvalues on spheres
Shengjie Lin, Haibin Wang, Guoyi Xu
For every smooth Riemannian metric on the two sphere whose Gaussian curvature is bounded below by one, we prove that each positive Laplace eigenvalue, counted with multiplicity, is…
Uniform estimates and Brezis-Merle type inequalities for the -Hessian equation
Jie Deng, Haibin Wang, Bin Zhou
In this paper, we prove a Brezis-Merle type inequality for -convex functions vanishing on the boundary. As an application, we establish an Alexandrov-Bakelman-Pucci type estimat…
The first Neumann eigenvalue and the width
Haibin Wang, Guoyi Xu
We prove the sharp lower bound of the first Neumann eigenvalue for bounded convex planar domain in term of its diameter and width.
The sharp lower bound of the first Dirichlet eigenvalue for geodesic balls
Haibin Wang, Guoyi Xu, Jie Zhou
On complete noncompact Riemannian manifolds with non-negative Ricci curvature, Li-Schoen proved the uniform Poincare inequality for any ge odesic ball. In this note, we obtain the…