Add to ORKGIn this paper, we study a lower bound estimate of the first positive eigenvalue of the sublaplacian on a three-dimensional pseudohermitian manifold. S.-Y. Li and H.-S. Luk derived the lower bound estimate under certain conditions for curvature tensors bounded below by a positive constant. By using the Li–Yau gradient estimate, we are able to get an effective lower bound esti-mate under a general curvature condition. The key is the discovery of a new CR version of the Bochner formula which involves the CR Paneitz operator. 1
In this paper we prove a sharp lower bound for the first non-trivial Neumann eigenvalue μ1(Ω) for th...
This thesis contains two main results: a Li-Yau type gradient estimate 3.3.1, anda Zhong-Yang type e...
Abstract. This paper provides the optimal exponential decay rate of the lower bound for the first po...
In this paper, we study a lower bound estimate of the first positive eigenvalue of the sublaplacian ...
[[abstract]]In this paper, we study a lower bound estimate of the first positive eigenvalue of the s...
We establish a new lower bound on the first nonzero eigenvalue $\lambda_1 (\theta ) of the sublapla...
New lower bounds of the first nonzero eigenvalue of the weighted p-Laplacian are established on comp...
We present some new lower bound estimates of the first eigenvalue for compact manifolds with positiv...
In this paper we find lower bounds for the first Steklov eigenvalue in Riemannian n-manifolds, n = ...
We prove that the first positive eigenvalue, normalized by the volume, of the sub-Laplacian associat...
We complete the picture of sharp eigenvalue estimates for the -Laplacian on a compact manifold by pr...
AbstractSome new, improved, curvature depending lower bounds for the first eigenvalue of the Dirac o...
We obtain new lower bounds for the first non-zero eigenvalue of the scalar sub-Laplacian for 3-Sasak...
We establish an explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds ...
For any compact strictly pseudoconvex CR manifold $M$ endowed with a contact form $\theta$ we obtain...
In this paper we prove a sharp lower bound for the first non-trivial Neumann eigenvalue μ1(Ω) for th...
This thesis contains two main results: a Li-Yau type gradient estimate 3.3.1, anda Zhong-Yang type e...
Abstract. This paper provides the optimal exponential decay rate of the lower bound for the first po...
In this paper, we study a lower bound estimate of the first positive eigenvalue of the sublaplacian ...
[[abstract]]In this paper, we study a lower bound estimate of the first positive eigenvalue of the s...
We establish a new lower bound on the first nonzero eigenvalue $\lambda_1 (\theta ) of the sublapla...
New lower bounds of the first nonzero eigenvalue of the weighted p-Laplacian are established on comp...
We present some new lower bound estimates of the first eigenvalue for compact manifolds with positiv...
In this paper we find lower bounds for the first Steklov eigenvalue in Riemannian n-manifolds, n = ...
We prove that the first positive eigenvalue, normalized by the volume, of the sub-Laplacian associat...
We complete the picture of sharp eigenvalue estimates for the -Laplacian on a compact manifold by pr...
AbstractSome new, improved, curvature depending lower bounds for the first eigenvalue of the Dirac o...
We obtain new lower bounds for the first non-zero eigenvalue of the scalar sub-Laplacian for 3-Sasak...
We establish an explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds ...
For any compact strictly pseudoconvex CR manifold $M$ endowed with a contact form $\theta$ we obtain...
In this paper we prove a sharp lower bound for the first non-trivial Neumann eigenvalue μ1(Ω) for th...
This thesis contains two main results: a Li-Yau type gradient estimate 3.3.1, anda Zhong-Yang type e...
Abstract. This paper provides the optimal exponential decay rate of the lower bound for the first po...