13 citations · 24 across the 14 of their papers we have counts for
16 papers
Isoperimetric bounds for the weighted Neumann and Steklov eigenvalues in dimensions three through six
Daguang Chen, Hao Liu, Chengxi Yang
For , we determine the sharp isoperimetric bound for the mass-normalized first weighted Neumann eigenvalue on bounded Euclidean domains. For every finite nonnegative no…
Sharp harmonic-mean inequalities for Neumann and Aharonov--Bohm spectra
Daguang Chen, Chengxi Yang
We prove sharp two-eigenvalue isoperimetric inequalities for Neumann and Aharonov--Bohm Neumann spectra on surfaces. If is smooth, simply connected and proper…
Sharp shifted reciprocal sums of Neumann eigenvalues on space forms
Daguang Chen, Chengxi Yang
Let be the space form of sectional curvature , so that $\mathbb{M}_{-1}^n=\mathbb{H}^n, \mathbb{M}_{0}^n=\mathbb{R}^n, \mathbb{M}_{1}^n=\mathbb{S}^…
Estimates for Eigenvalues of the Dirichlet Laplacian on Riemannian Manifolds
Daguang Chen, Qing-Ming Cheng
We revisit the eigenvalue problem of the Dirichlet Laplacian on bounded domains in complete Riemannian manifolds. By building on classical results like Li-Yau's and Yang's inequali…
Comparison results for solutions of Poisson equations with Robin boundary on complete Riemannian manifolds
Daguang Chen, Haizhong Li, Yilun Wei
In this paper, by using Schwarz rearrangement and isoperimetric inequalities, we prove comparison results for the solutions of Poisson equations on complete Riemannian manifolds wi…
Talenti's comparison theorem for Poisson equation and applications on Riemannian manifold with nonnegative Ricci curvature
Daguang Chen, Haizhong Li
In this article, we prove Talenti's comparison theorem for Poisson equation on complete noncompact Riemannian manifold with nonnegative Ricci curvature. Furthermore, we obtain the…
On the Obata Theorem in a weighted Sasakian manifold
Shu-Cheng Chang, Daguang Chen, Chin-Tung Wu
In this paper, we generalize the CR Obata theorem to a compact strictly pseudoconvex CR manifold with a weighted volume measure. More precisely, we first derive the weighted CR Rei…
Eigenvalue Estimate of the Dirac operator and Rigidity of Poincare-Einstein Metrics
Daguang Chen, Fang Wang, Xiao Zhang
We re-visit the eigenvalue estimate of the Dirac operator on spin manifolds with boundary in terms of the first eigenvalues of conformal Laplace operator as well as the conformal m…
A Penrose type inequaltiy for graphs over Reissner-Nordström-anti-deSitter manifold
Daguang Chen, Haizhong Li, Tailong Zhou
In this paper, we use the inverse mean curvature flow to establish an optimal Minkowski type inquality, weighted Alexandrov-Fenchel inequality for the mean convex star shaped hyper…
Starshaped compact hypersurfaces with prescirbed Weingarten curvature in warped product manifolds
Daguang Chen, Haizhong Li, Zhizhang Wang
Given a compact Riemannian manifold , we consider a warped product where is an open interval in . For a positive function defined on $\ba…
A gap for eigenvalues of a clamped plate problem
Daguang Chen, Qing-Ming Cheng, Guoxin Wei
This paper studies eigenvalues of the clamped plate problem on a bounded domain in an -dimensional Euclidean space. We give an estimate for the gap between $\sqrt {Γ_{k+1}-Γ_{1}…
Estimates for the first eigenvalue of Jacobi operator on hypersurfaces with constant mean curvature in spheres
Daguang Chen, Qing-Ming Cheng
In this paper, we study the first eigenvalue of Jacobi operator on an -dimensional non-totally umbilical compact hypersurface with constant mean curvature in the unit sphere…
The sharp estimates of eigenvalues of Polyharmonic operator and higher order Stokes operator
Daguang Chen, He-Jun Sun
In this paper, we establish some lower bounds for the sums of eigenvalues of the polyharmonic operator and higher order Stokes operator, which are sharper than the recent results i…
Inequalities for eigenvalues of the weighted Hodge Laplacian
Daguang Chen, Yingying Zhang
In this paper, we obtain "universal" inequalities for eigenvalues of the weighted Hodge Laplacian on a compact self-shrinker of Euclidean space. These inequalities generalize the Y…
Estimates of the gaps between consecutive eigenvalues of Laplacian
Daguang Chen, Tao Zheng, Hongcang Yang
By the calculation of the gap of the consecutive eigenvalues of with standard metric, using the Weyl's asymptotic formula, we know the order of the upper bound of this g…
Estimates for eigenvalues of a system of of elliptic equations and of the biharmonic operator
Daguang Chen, Qing-Ming Cheng, Qiaoling Wang +1
Let $\om $ be a bounded domain in an -dimensional Euclidean space . We study eigenvalues of an eigenvalue problem of a system of elliptic equations: $$ \{\aligned &Δ{\…