Shiu‐Yuen Cheng

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All published works

Action	Title	Year	Authors
+	The role of mathematicians in K-12 mathematics education	2006	Shiu‐Yuen Cheng Konrad Osterwalder Hung-Hsi Wu
+	Isoperimetric inequalities and the gap between the first and second eigenvalues of an Euclidean domain	1997	Shiu‐Yuen Cheng Kevin Oden
+ PDF Chat	Harmonic maps with finite total energy	1996	Shiu‐Yuen Cheng Luen-Fai Tam Tom Yau-heng Wan
+ PDF Chat	Schrödinger Operators and Index Bounds for Minimal Submanifolds	1994	Shiu‐Yuen Cheng Johan Tysk
+ PDF Chat	The Dirichlet problem at infinity for nonpositively curved manifolds	1993	Shiu‐Yuen Cheng
+	Complete affine hypersurfaces. Part I. The completeness of affine metrics	1986	Shiu‐Yuen Cheng Shing‐Tung Yau
+	Heat Equations on Minimal Submanifolds and Their Applications	1984	Shiu‐Yuen Cheng Peter Li Shing‐Tung Yau
+	Heat kernel estimates and lower bound of eigenvalues	1981	Shiu‐Yuen Cheng Peter Li
+	Heat kernel estimates and lower bound o! eigenvalues	1981	Shiu‐Yuen Cheng Peter Li
+	On the existence of a complete Kähler metric on non‐compact complex manifolds and the regularity of fefferman's equation	1980	Shiu‐Yuen Cheng Shing‐Tung Yau
+	Hypersurfaces with constant scalar curvature	1977	Shiu‐Yuen Cheng Shing‐Tung Yau
+	On the regularity of the monge‐ampère equation det (∂<sup>2</sup> u/∂x<sub>i</sub> ∂x<sub>j</sub>) = f(x, u)	1977	Shiu‐Yuen Cheng Shing‐Tung Yau
+	Eigenfunctions and nodal sets	1976	Shiu‐Yuen Cheng
+	Maximal Space-like Hypersurfaces in the Lorentz-Minkowski Spaces	1976	Shiu‐Yuen Cheng Shing‐Tung Yau
+	On the regularity of the solution of the <i>n</i>‐dimensional Minkowski problem	1976	Shiu‐Yuen Cheng Shing‐Tung Yau
+	A Characterization of the 2-Sphere by Eigenfunctions	1976	Shiu‐Yuen Cheng
+	Eigenvalue comparison theorems and its geometric applications	1975	Shiu‐Yuen Cheng

Common Coauthors

Coauthor	Papers Together
Shing‐Tung Yau	6
Peter Li	2
Tom Yau-heng Wan	1
Kevin Oden	1
Konrad Osterwalder	1
Johan Tysk	1
Luen-Fai Tam	1
Peter Li	1
Shing‐Tung Yau	1
Hung-Hsi Wu	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens.	1958	Eugenio Calabi	4
+	Harmonic functions on complete riemannian manifolds	1975	Shing‐Tung Yau	4
+	Lower bounds for the eigenvalues of negatively curved manifolds	1980	Harold Donnelly Peter Li	3
+	Sobolev and mean‐value inequalities on generalized submanifolds of R<sup>n</sup>	1973	J. H. Michael L. Simon	2
+	Estimates of eigenvalues of a compact Riemannian manifold	1980	Peter Li Shing Tung Yau	2
+ PDF Chat	On the Sobolev constant and the $p$-spectrum of a compact riemannian manifold	1980	Peter Li	2
+ PDF Chat	Le Spectre D'une Variété Riemannienne	1971	Marcel Berger Paul Gauduchon Edmond Mazet	2
+	Differential equations on riemannian manifolds and their geometric applications	1975	Sheng Yao Cheng Shing‐Tung Yau	2
+	The Number of Bound States of One-Body Schroedinger Operators and the Weyl Problem	2002	Élliott H. Lieb	2
+	Theory of minimal surfaces and a counter-example to the Bernstein conjecture in high dimensions	1970	Enrico Bombieri	2
+	Nonlinear Functional Analysis	1969	Jacob T. Schwartz	1
+ PDF Chat	An upper bound to the spectrum of $\Delta $ on a manifold of negative curvature	1970	H. P. McKean	1
+	Minimal submanifolds in a Riemannian manifold	1968	Shiing-Shen Chern	1
+	Multiple Integrals in the Calculus of Variations	1966	Charles B. Morrey	1
+	On the Ratio of Consecutive Eigenvalues	1956	L. E. Payne Georg Pólya Hans F. Weinberger	1
+	Complete minimal surfaces in Euclideann-space	1967	Shiing-Shen Chern Robert Osserman	1
+	Manifolds of negative curvature	1978	M. Gromov	1
+	On the Schr�dinger equation and the eigenvalue problem	1983	Peter Li Shing Tung Yau	1
+	On C0-sufficiency of jets of potential functions	1969	Tzee-Char Kuo	1
+	The heat equation and harmonic maps of complete manifolds	1991	Peter Li Luen-Fai Tam	1
+	Über die Lösungen der Differentialgleichungrt−s 2=1	1954	Konrad Jörgens	1
+	The relation between the laplacian and the diameter for manifolds of non-negative curvature	1968	Jeff Cheeger	1
+	The span and principal functions in Riemannian spaces	1965	Leo Sario M. Schiffer Moses Glasner	1
+	A General Schwarz Lemma for Kahler Manifolds	1978	Shing‐Tung Yau	1
+	The area of the generalized Gaussian image and the stability of minimal surfaces inS n and ? n	1982	David Hoffman Robert Osserman	1
+	Generic Properties of Eigenfunctions	1976	Karen Uhlenbeck	1
+	Eigenfunctions and nodal sets	1976	Shiu‐Yuen Cheng	1
+	On Extensions of the Brunn-Minkowski and Prékopa-Leindler Theorems, Including Inequalities for Log Concave Functions, and with an Application to the Diffusion Equation	2002	H. J. Brascamp Élliott H. Lieb	1
+	A Sharp Bound for the Ratio of the First Two Eigenvalues of Dirichlet Laplacians and Extensions	1992	Mark S. Ashbaugh Rafael D. Benguria	1
+	Positive Harmonic Functions on Complete Manifolds of Negative Curvature	1985	Michael T. Anderson Richard Schoen	1
+	On the regularity of the monge‐ampère equation det (∂<sup>2</sup> u/∂x<sub>i</sub> ∂x<sub>j</sub>) = f(x, u)	1977	Shiu‐Yuen Cheng Shing‐Tung Yau	1
+ PDF Chat	On the Liouville theorem for harmonic maps	1982	Hyeong In Choi	1
+	The Weyl and Minkowski problems in differential geometry in the large	1953	Louis Nirenberg	1
+ PDF Chat	Sur une nouvelle classe de surfaces	1908	M. Georges Tzitzéica	1
+	Symmetric Green's Functions on Complete Manifolds	1987	Peter Li Luen-Fai Tam	1
+	Remarks on the stability of minimal submanifolds of IR n	1975	Joel Spruck	1
+ PDF Chat	Sur une nouvelle classe de surfaces (2ème Partie)	1909	M. Georges Tzitzéica	1
+	Probability, Convexity, and Harmonic Maps with Small Image I: Uniqueness and Fine Existence	1990	Wilfrid S. Kendall	1
+	Heat kernel estimates and lower bound of eigenvalues	1981	Shiu‐Yuen Cheng Peter Li	1
+	Lower bounds for the eigenvalues of Riemannian manifolds.	1982	Harold Donnelly Peter Li	1
+ PDF Chat	Eigenvalue estimates with applications to minimal surfaces	1987	Johan Tysk	1
+	Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative ricci curvature	1976	Richard Shoen Shing Tung Yau	1
+	On the Dirichlet Problem at Infinity for Manifolds of Nonpositive Curvature	1989	Werner Ballmann	1
+ PDF Chat	Manifolds of negative curvature	1969	Richard L. Bishop Barrett O’Neill	1
+	THE HEAT EQUATION ON NONCOMPACT RIEMANNIAN MANIFOLDS	1992	Alexander Grigor’yan	1
+	Isoperimetric Inequalities and Their Applications	1967	L. E. Payne	1
+	Compact group actions and the topology of manifolds with non-positive curvature	1979	Richard Schoen Shing Tung Yau	1
+	Maximal Space-like Hypersurfaces in the Lorentz-Minkowski Spaces	1976	Shiu‐Yuen Cheng Shing‐Tung Yau	1
+	A Treatise on the Theory of Bessel Functions.	1923	Matthew Porter G. N. Watson	1
+	On the improper convex affine hyperspheres	1972	А. В. Погорелов	1