4 citations · 20 across the 16 of their papers we have counts for
16 papers
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…
On a Conjecture of Ashbaugh and Benguria about Lower Eigenvalues of the Neumann Laplacian
Qiaoling Wang, Changyu Xia
In this paper, we prove an isoperimetric inequality for lower order eigenvalues of the free membrane problem on bounded domains of a Euclidean space or a hyperbolic space which str…
Pohozaev identity for the anisotropic -Laplacian and estimates of torsion function
Changyu Xia, Qiaoling Wang
In this paper we prove the Pohozaev identity for the weighted anisotropic -Laplace operator. As an application of our identity, we deduce the nonexistence of nontrivial solution…