4 citations · 21 across the 19 of their papers we have counts for
19 papers
Isoperimetric Bounds for Lower Order Eigenvalues
Fuquan Fang, Changyu Xia
New isoperimetric inequalities for lower order eigenvalues of the Laplacian on closed hypersurfaces, of the biharmonic Steklov problems and of the Wentzell-Laplace on bounded domai…
Sharp Estimates for the First Eigenvalues of the Bi-drifting Laplacian
Adriano Cavalcante Bezerra, Changyu Xia
In the present paper we study some kinds of the problems for the bi-drifting Laplacian operator and get some sharp lower bounds for the first eigenvalue for these eigenvalue proble…
Estimates for eigenvalues of the Neumann and Steklov problems
Feng Du, Jing Mao, Qiaoling Wang +2
We prove Li-Yau-Kröger type bounds for Neumann-type eigenvalues of the poly-harmonic operator and of the biharmonic operator on bounded domains in a Euclidean space. We also prove…
On Ashbaugh-Benguria's Conjecture about Lower Order Dirichlet Eigenvalues of the Laplacian
Qiaoling Wang, Changyu Xia
In this paper, we prove an isoperimetric inequality for lower order eigenvalues of the Dirichlet Laplacian on bounded domains of a Euclidean space which strengthens the well-known…
On Payne-Schaefer's Conjecture about an Overdetermined Boundary Problem of Sixth Order
Changyu Xia
This paper considers overdetermined boundary problems. Firstly, we give a proof to the Payne-Schaefer conjecture about an overdetermined problem of sixth order in the two dimension…
Isoperimetric Bounds for Eigenvalues of the Wentzell-Laplace, the Laplacian and a biharmonic Steklov Problem
Feng Du, Jing Mao, Qiao-Ling Wang +1
In this paper, we prove some isoperimetric bounds for lower order eigenvalues of the Wentzell-Laplace operator on bounded domains of a Euclidean space or a Hadamard manifold, of th…