Changyu Xia

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All published works

Action	Title	Year	Authors
+	Isoperimetric bounds for eigenvalues of the Laplacian, the Wentzell-Laplace and a biharmonic Steklov 问题	2024	Jing Mao Feng Du Wang Qiao-ling Changyu Xia
+ PDF Chat	Estimates for eigenvalues of the Neumann and Steklov problems	2023	Feng Du Jing Mao Qiaoling Wang Changyu Xia Yan Zhao
+ PDF Chat	Isoperimetric bounds for lower-order eigenvalues	2022	Fuquan Fang Changyu Xia
+ PDF Chat	On a conjecture of Ashbaugh and Benguria about lower eigenvalues of the Neumann laplacian	2022	Changyu Xia Qiaoling Wang
+	On the Ashbaugh–Benguria conjecture about lower-order Dirichlet eigenvalues of the Laplacian	2021	Qiaoling Wang Changyu Xia
+ PDF Chat	Estimates for eigenvalues of weighted Laplacian and weighted $p$-Laplacian	2021	Feng Du Jing Mao Qiaoling Wang Changyu Xia
+	The Caffarelli–Kohn–Nirenberg inequality on metric measure spaces	2020	Willian Isáo Tokura Levi Adriano Changyu Xia
+ PDF Chat	The Pohozaev identity for the anisotropic $p$-Laplacian and estimates of the torsion function	2020	Qiaoling Wang Changyu Xia
+	Sharp lower bounds for the first eigenvalues of the bi-drifting Laplacian	2019	Adriano Cavalcante Bezerra Changyu Xia
+	Estimates for eigenvalues of the Neumann and Steklov problems	2019	Feng Du Jing Mao Qiaoling Wang Changyu Xia Yan Zhao
+	Sharp Estimates for the First Eigenvalues of the Bi-drifting Laplacian	2019	Adriano Cavalcante Bezerra Changyu Xia
+	Rigidity of complete minimal submanifolds in a hyperbolic space	2018	Hudson Pina de Oliveira Changyu Xia
+	Estimates for eigenvalues of the Wentzell–Laplace operator	2018	Feng Du Qiaoling Wang Changyu Xia
+	Eigenvalues of the Wentzell–Laplace operator and of the fourth order Steklov problems	2018	Changyu Xia Qiaoling Wang
+ PDF Chat	$\boldsymbol{p}$-Torsional rigidity and the first eigenvalue of the $\boldsymbol{p}$-Laplace operator	2018	Changyu Xia
+	Sharp Lower Bounds for the First Eigenvalues of the Bi-Laplace Operator	2018	Qiaoling Wang Changyu Xia
+	Pohozaev identity for the anisotropic $p$-Laplacian and estimates of torsion function	2018	Changyu Xia Qiaoling Wang
+	Isoperimetric Bounds for Eigenvalues of the Wentzell-Laplace, the Laplacian and a biharmonic Steklov Problem	2018	Feng Du Jing Mao Qiaoling Wang Changyu Xia
+	On Payne-Schaefer's Conjecture about an Overdetermined Boundary Problem of Sixth Order	2018	Qiaoling Wang Changyu Xia
+	On Ashbaugh-Benguria's Conjecture about Lower Order Dirichlet Eigenvalues of the Laplacian	2018	Qiaoling Wang Changyu Xia
+	On a Conjecture of Ashbaugh and Benguria about Lower Eigenvalues of the Neumann Laplacian	2018	Qiaoling Wang Changyu Xia
+	Universal inequalities for a horizontal Laplacian version of the clamped plate problem on Carnot group	2017	Feng Du Chuanxi Wu Guanghan Li Changyu Xia
+ PDF Chat	Inequalities for eigenvalues of the buckling problem of arbitrary order	2017	Qing-Ming Cheng Xuerong Qi Qiaoling Wang Changyu Xia
+	The Caffarelli-Kohn-Nirenberg Inequalities on Metric Measure Spaces	2017	Willian Isáo Tokura Levi Adriano Changyu Xia
+	On the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>h</mml:mi></mml:math>-almost Ricci soliton	2016	José N. V. Gomes Qiaoling Wang Changyu Xia
+	Gap theorems for minimal submanifolds of a hyperbolic space	2015	Changyu Xia Qiaoling Wang
+ PDF Chat	Universal inequalities for eigenvalues of a system of sub-elliptic equations on Heisenberg group	2015	Feng Du Chuanxi Wu Guanghan Li Changyu Xia
+	Eigenvalues of the Wentzell-Laplace Operator and of the Fourth Order Steklov Problems	2015	Changyu Xia Qiaoling Wang
+ PDF Chat	Rigidity of complete minimal hypersurfaces in a hyperbolic space	2015	Nilton M. Barroso Neto Qiaoling Wang Changyu Xia
+	On the H-almost ricci soliton	2014	José N. V. Gomes Qiaoling Wang Changyu Xia
+	H-almost ricci soliton	2014	Qiaoling Wang José N. V. Gomes Changyu Xia
+	Estimates for eigenvalues of the bi-drifting Laplacian operator	2014	Feng Du Chuanxi Wu Guanghan Li Changyu Xia
+	Eigenvalues of the buckling problem of arbitrary order and of the polyharmonic operator on Ricci flat manifolds	2014	Feng Du Chuanxi Wu Guanghan Li Changyu Xia
+	Eigenvalues of the buckling problem of arbitrary order on bounded domains of $\mathbb{M}\times\mathbb{R}$	2014	Qiaoling Wand Changyu Xia
+	On the H-almost ricci soliton	2014	José N. V. Gomes Li Wang Changyu Xia
+	Hardy and Rellich type inequalities on complete manifolds	2013	Changyu Xia
+	Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds	2013	Changyu Xia Hongwei Xu
+ PDF Chat	Inequalities for the Steklov eigenvalues	2013	Changyu Xia Qiaoling Wang
+	Ricci curvature and the topology of open manifolds	2012	Manfredo do Carmo Changyu Xia
+	On eigenvalues of a system of elliptic equations and of the biharmonic operator	2011	Daguang Chen Qing-Ming Cheng Qiaoling Wang Changyu Xia
+	On complete manifolds supporting a weighted Sobolev type inequality	2011	Levi Adriano Changyu Xia
+ PDF Chat	Inequalities for the Navier and Dirichlet eigenvalues of elliptic operators	2011	Qiaoling Wang Changyu Xia
+	A finiteness theorem for ends of complete manifolds supporting a sobolev type inequality	2011	Changyu Xia
+ PDF Chat	Universal bounds for eigenvalues of the polyharmonic operators	2010	Jürgen Jost Xianqing Li‐Jost Qiaoling Wang Changyu Xia
+	Complete submanifolds of manifolds of negative curvature	2010	Qiaoling Wang Changyu Xia
+ PDF Chat	Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order	2010	Jürgen Jost Xianqing Li‐Jost Qiaoling Wang Changyu Xia
+	Comparison Theorems for Eigenvalues of Elliptic Operators and the Generalized Pólya Conjecture	2010	Qiaoling Wang Changyu Xia
+	Inequalities for eigenvalues of a clamped plate problem	2010	Qiaoling Wang Changyu Xia
+	Sobolev type inequalities on Riemannian manifolds	2010	Levi Adriano Changyu Xia
+	Hardy type inequalities on complete Riemannian manifolds	2010	Levi Adriano Changyu Xia
+ PDF Chat	Inequalities for eigenvalues of the biharmonic operator with weight on Riemannian manifolds	2010	Qiaoling Wang Changyu Xia
+ PDF Chat	Inequalities for eigenvalues of elliptic operators in divergence form on Riemannian manifolds	2010	Manfredo P. do Carmo Qiaoling Wang Changyu Xia
+	Inequalities for eigenvalues of the buckling problem of arbitrary order	2010	Qing-Ming Cheng Xuerong Qi Qiaoling Wang Changyu Xia
+	Estimates for eigenvalues of a system of of elliptic equations and of the biharmonic operator	2010	Daguang Chen Qing-Ming Cheng Qiaoling Wang Changyu Xia
+	Inequalities for Eigenvalues of the Buckling Problem of Higher Orders	2010	Qiaoling Wang Changyu Xia
+	Inequalities for the Steklov Eigenvalues	2010	Changyu Xia Qiaoling Wang
+	Universal bounds for eigenvalues of the biharmonic operator	2009	Qiaoling Wang Changyu Xia
+	Complete submanifolds with bounded mean curvature in a Hadamard manifold	2009	Manfredo P. do Carmo Qiaoling Wang Changyu Xia
+	Sharp bounds for the first non-zero Stekloff eigenvalues	2009	Qiaoling Wang Changyu Xia
+	Isoperimetric bounds for the first eigenvalue of the Laplacian	2009	Qiaoling Wang Changyu Xia
+ PDF Chat	Rigidity for closed manifolds with positive curvature	2009	Changyu Xia
+	Universal Inequalities for Eigenvalues of the Buckling Problem of Arbitrary Order	2009	Jürgen Jost Xianqing Li‐Jost Qiaoling Wang Changyu Xia
+	Universal Bounds for Eigenvalues of the Polyharmonic Operators	2009	Jürgen Jost Xianqing Li‐Jost Qiaoling Wang Changyu Xia
+	UNIVERSAL BOUNDS FOR EIGENVALUES OF SCHRÖDINGER OPERATOR ON RIEMANNIAN MANIFOLDS	2008	Qiaoling Wang Changyu Xia
+	Complete Hypersurfaces with Bounded Mean Curvature in ${\mathbb R}^{n+1}$	2007	Qiaoling Wang Changyu Xia
+ PDF Chat	The Caffarelli-Kohn-Nirenberg Inequalities on Complete Manifolds	2007	Changyu Xia
+	Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds	2006	Qiaoling Wang Changyu Xia
+ PDF Chat	A round sphere theorem for positive sectional curvature	2006	Changyu Xia
+	Topological rigidity theorems for open Riemannian manifolds	2006	Qiaoling Wang Changyu Xia
+ PDF Chat	RIGIDITY OF HYPERSURFACES IN A EUCLIDEAN SPHERE	2006	Qiaoling Wang Changyu Xia
+	Characterizations of Some Product Manifolds by Their Spectrum	2005	Changyu Xia
+	The Gagliardo–Nirenberg inequalities and manifolds of non-negative Ricci curvature	2005	Changyu Xia
+	Rigidity theorems for closed hypersurfaces in a unit sphere	2005	Qiaoling Wang Changyu Xia
+	Structure of space-like submanifolds in pseudo-Euclidean space	2004	Qiaoling Wang Changyu Xia
+ PDF Chat	Complete manifolds with non-negative Ricci curvature and the Caffarelli–Kohn–Nirenberg inequalities	2004	Manfredo Perdigão do Carmo Changyu Xia
+	Ricci curvature, conjugate radius and large volume growth	2003	Changyu Xia
+	Large volume growth and the topology of open manifolds	2002	Changyu Xia
+	COMPLETE MANIFOLDS WITH SECTIONAL CURVATURE BOUNDED BELOW AND LARGE VOLUME GROWTH	2002	Changyu Xia
+ PDF Chat	None	2002	Changyu Xia
+	Complete manifolds with nonnegative Ricci curvature and almost best Sobolev constant	2001	Changyu Xia
+	Rigidity Theorems for Manifolds with Boundary and Nonnegative Ricci Curvature	2001	Manfredo do Carmo Changyu Xia
+	Closed manifolds with small excess	2001	Keti Tenenblat Changyu Xia
+	Open manifolds with sectional curvature bounded from below	2000	Changyu Xia
+	Ricci curvature and the topology of open manifolds	2000	Manfredo do Carmo Changyu Xia
+	A Universal Bound for the Low Eigenvalues of Neumann Laplacians on Compact Domains in a Hadamard Manifold	1999	Changyu Xia
+ PDF Chat	On the diameter of closed minimal submanifolds in a real projective space	1999	Changyu Xia
+	A sphere theorem for submanifolds in a manifold with pinched positive curvature	1997	Changyu Xia
+ PDF Chat	A generalization of the classical sphere theorem	1997	Changyu Xia
+ PDF Chat	Rigidity of compact manifolds with boundary and nonnegative Ricci curvature	1997	Changyu Xia
+ PDF Chat	Hadamard-Frankel type theorems for manifolds with partially positive curvature	1996	Katsuei Kenmotsu Changyu Xia
+	Minimal submanifolds in a Riemannian manifold with pinched positive curvature	1995	Changyu Xia
+	Totally complex submanifolds inH P m (1)	1995	Changyu Xia
+	Rigidity and sphere theorem for manifolds with positive Ricci curvature	1994	Changyu Xia
+	Minimal submanifolds with bounded second fundamental form	1991	Changyu Xia
+	A pinching theorem for minimal submanifolds in a sphere	1991	Changyu Xia
+	Global pinching theorems for even dimensional minimal submanifolds in the unit spheres	1989	Lin Jun-min Changyu Xia
+	Remarks on the fundamental group of positively curved manifolds	1987	Changyu Xia

Common Coauthors

Coauthor	Papers Together
Qiaoling Wang	48
Feng Du	10
Jing Mao	5
Levi Adriano	5
Qing-Ming Cheng	4
José N. V. Gomes	4
Jürgen Jost	4
Xianqing Li‐Jost	4
Chuanxi Wu	4
Guanghan Li	4
Manfredo do Carmo	3
Xuerong Qi	2
Yan Zhao	2
Manfredo P. do Carmo	2
Daguang Chen	2
Adriano Cavalcante Bezerra	2
Willian Isáo Tokura	2
Lin Jun-min	1
Wang Qiao-ling	1
Manfredo Perdigão do Carmo	1
Katsuei Kenmotsu	1
Fuquan Fang	1
Hongwei Xu	1
Nilton M. Barroso Neto	1
Keti Tenenblat	1
Hudson Pina de Oliveira	1
Qiaoling Wand	1
Li Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On the Ratio of Consecutive Eigenvalues	1956	L. E. Payne Georg Pólya Hans F. Weinberger	20
+	Universal bounds for eigenvalues of the biharmonic operator on Riemannian manifolds	2006	Qiaoling Wang Changyu Xia	17
+ PDF Chat	Inequalities for eigenvalues of a clamped plate problem	2005	Qing-Ming Cheng Hongcang Yang	15
+ PDF Chat	Commutator bounds for eigenvalues, with applications to spectralgeometry	1994	Evans M. Harrell Patricia L. Michel	14
+ PDF Chat	Universal Bounds for Eigenvalues of a Buckling Problem	2005	Qing-Ming Cheng Hongcang Yang	14
+ PDF Chat	On trace identities and universal eigenvalue estimates for some partial differential operators	1997	Evans M. Harrell Joachim Stubbe	14
+	Isoperimetric and universal inequalities for eigenvalues	1999	Mark S. Ashbaugh	13
+	Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities	2000	Emmanuel Hebey	13
+	Some geometric bounds on eigenvalue gaps	1993	Evans M. Harrell	13
+	Estimates on Eigenvalues of Laplacian	2004	Qing-Ming Cheng Hongcang Yang	13
+ PDF Chat	Inequalities for eigenvalues of Laplacian on domains and compact complex hypersurfaces in complex projective spaces	2006	Qing-Ming Cheng Hongcang Yang	12
+	Lectures on Differential Geometry	1994	Richard Schoen Shing Tung Yau	12
+	Universal bounds on eigenvalues of the buckling problem on spherical domains	2009	Guangyue Huang Xingxiao Li Linfen Cao	12
+	INEQUALITIES FOR EIGENVALUES OF THE LAPLACIAN	2011	Qing-Ming Cheng Xuerong Qi	12
+	A unified approach to universal inequalities for eigenvalues of elliptic operators	2004	Mark S. Ashbaugh Lotfi Hermi	12
+	A Generalized Sphere Theorem	1977	Karsten Grove Katsuhiro Shiohama	11
+	Inequalities for eigenvalues of the biharmonic operator	1984	Gerald N. Hile R. Z. Yeh	11
+ PDF Chat	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding	10
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin	10
+	The universal eigenvalue bounds of Payne-Pólya-Weinberger, Hile-Protter, and H C Yang	2002	Mark S. Ashbaugh	10
+	Minimal Varieties in Riemannian Manifolds	1968	James Simons	10
+	Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds	2008	Ahmad El Soufi Evans M. Harrell Saïd Ilias	10
+ PDF Chat	An extremal eigenvalue problem for the Wentzell-Laplace operator	2015	Marc Dambrine Djalil Kateb Jimmy Lamboley	9
+	Complete manifolds with nonnegative Ricci curvature and quadratically nonnegatively curved infinity	1997	Ji-Ping Sha Zhongmin Shen	9
+	Complete manifolds with nonnegative Ricci curvature and large volume growth	1996	Zhongmin Shen	9
+	UNIVERSAL BOUNDS FOR EIGENVALUES OF SCHRÖDINGER OPERATOR ON RIEMANNIAN MANIFOLDS	2008	Qiaoling Wang Changyu Xia	9
+ PDF Chat	Domain-independent upper bounds for eigenvalues of elliptic operators	1990	Stephen M. Hook	9
+ PDF Chat	On complete manifolds with nonnegative Ricci curvature	1990	Uwe Abresch Detlef Gromoll	9
+	Eigenvalues of the Wentzell–Laplace operator and of the fourth order Steklov problems	2018	Changyu Xia Qiaoling Wang	9
+ PDF Chat	Commutators, Eigenvalue Gaps, and Mean Curvature in the Theory of Schrödinger Operators	2007	Evans M. Harrell	8
+ PDF Chat	On manifolds with non-negative Ricci curvature and Sobolev inequalities	1999	Michel Ledoux	8
+	Complete manifolds with nonnegative Ricci curvature and almost best Sobolev constant	2001	Changyu Xia	8
+	A Sharp Bound for the Ratio of the First Two Eigenvalues of Dirichlet Laplacians and Extensions	1992	Mark S. Ashbaugh Rafael D. Benguria	8
+	A few shape optimization results for a biharmonic Steklov problem	2015	Davide Buoso Luigi Provenzano	8
+ PDF Chat	Eigenvalue inequalities for Klein–Gordon operators	2009	Evans M. Harrell Selma Yıldırım Yolcu	8
+	Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length	2012	Shiing-Shen Chern Manfredo do Carmo Shimpei Kobayashi	8
+ PDF Chat	Extrinsic estimates for eigenvalues of the Laplace operator	2008	Daguang Chen Qing-Ming Cheng	8
+ PDF Chat	Comparison Theorems in Riemannian Geometry	1975	J.-H. Eschenburg	8
+	On the topology of complete manifolds of non-negative Ricci curvature	1990	Michael T. Anderson	7
+ PDF Chat	Proof of the Payne-Pólya-Weinberger conjecture	1991	Mark S. Ashbaugh Rafael D. Benguria	7
+	Eigenvalue estimates on homogeneous manifolds	1980	Peter Li	7
+	Universal Bounds for the Low Eigenvalues of Neumann Laplacians in<i>N</i>Dimensions	1993	Mark S. Ashbaugh Rafael D. Benguria	7
+ PDF Chat	On complete manifolds of nonnegative $k$th-Ricci curvature	1993	Zhong Min Shen	7
+	Inequalities for eigenvalues of a clamped plate problem	2010	Qiaoling Wang Changyu Xia	7
+	Critical points of distance functions and applications to geometry	1991	Jeff Cheeger	7
+	Commutators, Spectral Trace Identities, and Universal Estimates for Eigenvalues	2002	Michael Levitin Leonid Parnovski	7
+ PDF Chat	A second proof of the Payne-Pólya-Weinberger conjecture	1992	Mark S. Ashbaugh Rafael D. Benguria	7
+ PDF Chat	Sur les problèmes fondamentaux de la physique mathématique (suite et fin)	1902	W. Stekloff	7
+	Sharp bounds for the first non-zero Stekloff eigenvalues	2009	Qiaoling Wang Changyu Xia	7
+	Some Nonlinear Problems in Riemannian Geometry	1998	Thierry Aubin	7