3 citations · 7 across the 6 of their papers we have counts for
6 papers
Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order
Feng Du, Lanbao Hou, Jing Mao +1
In this paper, we investigate the buckling problem of the drifting Laplacian of arbitrary order on a bounded connected domain in complete smooth metric measure spaces (SMMSs) suppo…
Sharp eigenvalue estimates and related rigidity theorems
Yanlin Deng, Feng Du, Jing Mao +1
In this paper, sharp bounds for the first nonzero eigenvalues of different type have been obtained. Moreover, when those bounds are achieved, related rigidities can be characterize…
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…
Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates
Yan Zhao, Chuanxi Wu, Jing Mao +1
In this paper, two interesting eigenvalue comparison theorems for the first non-zero Steklov eigenvalue of the Laplacian have been established for manifolds with radial sectional c…
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…
The Gagliardo-Nirenberg inequality on metric measure spaces
Feng Du, Jing Mao, Qiaoling Wang +1
In this paper, we prove that if a metric measure space satisfies the volume doubling condition and the Gagliardo-Nirenberg inequality with the same exponent , then i…