13 citations · 42 across the 23 of their papers we have counts for
25 papers
The Robin heat kernel and its expansion via Robin eigenfunctions
Yifeng Meng, Kui Wang
We prove the existence and uniqueness of the Robin heat kernel on compact Riemannian manifolds with smooth boundary for Robin parameter , expressed as a spectral ex…
An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space
Yi Gao, Kui Wang
We prove a sharp isoperimetric inequality for the harmonic mean of the first nonzero Neumann eigenvalues for bounded Lipschitz domains symmetric about the origin in Gauss spa…
Lower bounds for the first eigenvalue of -Laplacian on Kähler manifolds
Kui Wang, Shaoheng Zhang
We study the eigenvalue problem for the -Laplacian on Kähler manifolds. Our first result is a lower bound for the first nonzero eigenvalue of the -Laplacian on compact Kähler…
Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces
Yifeng Meng, Kui Wang
In this paper, we prove sharp isoperimetric inequalities for lower order eigenvalues of Neumann Laplacian on bounded domains in both compact and noncompact rank-1 symmetric spaces.…
Robin heat kernel comparison on manifolds
Xiaolong Li, Kui Wang
We investigate the heat kernel with Robin boundary condition and prove comparison theorems for heat kernel on geodesic balls and on minimal submanifolds. We also prove an eigenvalu…
The second Robin eigenvalue in non-compact rank-1 symmetric spaces
Xiaolong Li, Kui Wang, Haotian Wu
In this paper, we prove a quantitative spectral inequality for the second Robin eigenvalue in non-compact rank-1 symmetric spaces. In particular, this shows that for bounded domain…