Xuezhang Chen

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All published works

Action	Title	Year	Authors
+ PDF Chat	The mass of hypersurfaces under inversion and rigidity of spheres	2025	Xuezhang Chen Yalong Shi
+ PDF Chat	Almost sharp Sobolev trace inequalities in the unit ball under constraints	2024	Xuezhang Chen Wei Wei Nan Wu
+ PDF Chat	Classification of solutions to a biharmonic equation on the half-space and ball with pairs of conformal boundary operators	2024	Xuezhang Chen Shihong Zhang
+ PDF Chat	Estimates for modified $\sigma_{2}$ curvature equation on compact manifolds with boundary	2024	Xuezhang Chen Wei Wei
+ PDF Chat	A sharp Sobolev trace inequality of order four on three-balls	2024	Xuezhang Chen Shihong Zhang
+	Green functions for GJMS operators on spheres, Gegenbauer polynomials and rigidity theorems	2024	Xuezhang Chen Yalong Shi
+	The $σ_{2}$-curvature equation on a compact manifold with boundary	2023	Xuezhang Chen Wei Wei
+	Constrained Moser-Trudinger-Onofri inequality and a uniqueness criterion for the mean field equation	2023	Xuezhang Chen Shihong Zhang
+	Improved Sobolev trace inequalities in the unit ball under constraints	2021	Xuezhang Chen Nan Wu
+	On Gaussian curvature flow	2021	Xuezhang Chen Mingxiang Li Zirui Li Xingwang Xu
+	Almost sharp Sobolev trace inequalities in the unit ball under constraints	2021	Xuezhang Chen Wei Wei Nan Wu
+ PDF Chat	The Obata equation with Robin boundary condition	2020	Xuezhang Chen Mijia Lai Fang Wang
+	Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation	2020	Xuezhang Chen Nan Wu
+	An existence theorem on the isoperimetric ratio over scalar-flat conformal classes	2020	Xuezhang Chen Tianling Jin Yuping Ruan
+	The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds	2019	Xuezhang Chen Yuping Ruan Liming Sun
+	The Obata equation with Robin boundary condition	2019	Xuezhang Chen Mijia Lai Fang Wang
+	A fractional conformal curvature flow on the unit sphere	2019	Xuezhang Chen Pak Tung Ho Jingang Xiong
+	Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation	2019	Xuezhang Chen Nan Wu
+	An existence theorem on the isoperimetric ratio over scalar-flat conformal classes	2019	Xuezhang Chen Tianling Jin Yuping Ruan
+	Escobar–Yamabe compactifications for Poincaré–Einstein manifolds and rigidity theorems	2018	Xuezhang Chen Mijia Lai Fang Wang
+ PDF Chat	Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds	2018	Xuezhang Chen Liming Sun
+	Conformal curvature flows on compact manifold of negative Yamabe constant	2018	Xuezhang Chen Pak Tung Ho
+	The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds	2018	Xuezhang Chen Yuping Ruan Liming Sun
+ PDF Chat	Prescribed scalar curvature plus mean curvature flows in compact manifolds with boundary of negative conformal invariant	2017	Xuezhang Chen Pak Tung Ho Liming Sun
+ PDF Chat	Remarks on GJMS operator of order six	2017	Xuezhang Chen Fei Hou
+	Escobar-Yamabe compactifications for Poincare-Einstein manifolds and rigidity theorems	2017	Xuezhang Chen Mijia Lai Fang Wang
+	Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds	2016	Xuezhang Chen Liming Sun
+	A nonlocal $\mathbf Q$-curvature flow on a class of closed manifolds of dimension $\mathbf{n \geq 5}$	2015	Xuezhang Chen
+	The Paneitz-Sobolev constant of a closed Riemannian manifold and an application to the nonlocal $\mathbf{Q}$-curvature flow	2014	Xuezhang Chen
+ PDF Chat	Remarks on the &lt;italic&gt;Q&lt;/italic&gt;-curvature flow	2014	Xingwang Xu Li L Xuezhang Chen
+ PDF Chat	Erratum to: The scalar curvature flow on S n —perturbation theorem revisited	2011	Xuezhang Chen Xingwang Xu
+	The scalar curvature flow on S n —perturbation theorem revisited	2011	Xuezhang Chen Xingwang Xu
+	Q-curvature flow on the standard sphere of even dimension	2011	Xuezhang Chen Xingwang Xu

Common Coauthors

Coauthor	Papers Together
Xingwang Xu	5
Liming Sun	5
Mijia Lai	4
Yuping Ruan	4
Nan Wu	3
Pak Tung Ho	3
Fang Wang	3
Yalong Shi	2
Wei Wei	2
Shihong Zhang	2
Wei Wei	2
Nan Wu	2
Tianling Jin	2
Zirui Li	1
Li L	1
Mingxiang Li	1
Jingang Xiong	1
Fang Wang	1
Shihong Zhang	1
Fei Hou	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Yamabe problem on manifolds with boundary: Existence and compactness results	1999	Zheng-Chao Han Yanyan Li	9
+	Some Nonlinear Problems in Riemannian Geometry	1998	Thierry Aubin	9
+	Existence results for the Yamabe problem on manifolds with boundary	2005	Fernando C. Marques	8
+ PDF Chat	The existence of conformal metrics with constant scalar curvature and constant boundary mean curvature	2000	Zheng-Chao Han Yanyan Li	8
+	Uniqueness theorems through the method of moving spheres	1995	Yanyan Li Mei‐Jun Zhu	8
+ PDF Chat	Convergence of the Yamabe flow for arbitrary initial energy	2005	Simon Brendle	7
+ PDF Chat	The Yamabe problem on manifolds with boundary	1992	José F. Escobar	7
+	Conformal Deformation of a Riemannian Metric to a Scalar Flat Metric with Constant mean Curvature on the Boundary	1992	José F. Escobar	7
+ PDF Chat	Conformal deformation of a Riemannian metric to a constant scalar curvature metric with constant mean curvature on the boundary	1996	José F. Escobar	7
+	Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate	1990	José F. Escobar	7
+ PDF Chat	An existence theorem for the Yamabe problem on manifolds with boundary	2014	Simon Brendle Szu-Yu Sophie Chen	6
+ PDF Chat	Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary	2007	Fernando C. Marques	6
+ PDF Chat	The Yamabe problem	1987	John M. Lee Thomas H. Parker	6
+	Conformal metrics with prescribed mean curvature on the boundary	1996	José F. Escobar	5
+ PDF Chat	An existence theorem of conformal scalar-flat metrics on manifolds with boundary	2010	Sérgio Almaraz	5
+ PDF Chat	Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds	2018	Xuezhang Chen Liming Sun	5
+	Convergence of the Yamabe flow in dimension 6 and higher	2007	Simon Brendle	5
+ PDF Chat	Existence and Compactness of Minimizers of the Yamabe Problem on Manifolds with Boundary	2004	Henrique Araújo	5
+ PDF Chat	Global existence and convergence for a higher order flow in conformal geometry	2003	Simon Brendle	5
+	Critical points of the total scalar curvature plus total mean curvature functional	2003	Henrique Araújo	5
+	Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality	1993	William Beckner	5
+	Problèmes de Neumann non linéaires sur les variétés riemanniennes	1984	Pascal Cherrier	5
+	EQUATIONS DIFFERENTIELLES NON LINEAIRES ET PROBLEME DE YAMABE CONCERNANT LA COURBURE SCALAIRE.	1976	Thierry Aubin	5
+	Conformal Deformation to Scalar Flat Metrics with Constant Mean Curvature on the Boundary in Higher Dimensions	2009	Szu-yu Sophie Chen	4
+ PDF Chat	Convergence of the Yamabe flow on manifolds with minimal boundary	2018	Sérgio Almaraz Liming Sun	4
+ PDF Chat	Q-curvature flow on S4	2006	Andrea Malchiodi Michaël Struwe	4
+	Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe-type flow	2015	Sérgio Almaraz	4
+	Remarks concerning the conformal deformation of riemannian structures on compact manifolds	1968	Neil S. Trudinger	3
+ PDF Chat	Scattering matrix in conformal geometry	2003	C. Robin Graham Maciej Zworski	3
+	Dual variational methods in critical point theory and applications	1973	Antonio Ambrosetti Paul H. Rabinowitz	3
+ PDF Chat	On the isoperimetric quotient over scalar-flat conformal classes	2018	Tianling Jin Jingang Xiong	3
+	None	2002	Pierpaolo Esposito Frédéric Robert	3
+	A generalization of the Yamabe flow for manifolds with boundary	2002	Simon Brendle	3
+ PDF Chat	Prescribing Gaussian curvature on S2	1987	Sun‐Yung A. Chang Paul Yang	3
+	Q-curvature flow on the standard sphere of even dimension	2011	Xuezhang Chen Xingwang Xu	3
+ PDF Chat	An integral equation in conformal geometry	2007	Fengbo Hang Xiaodong Wang Xiaodong Yan	3
+ PDF Chat	Barycenter technique and the Riemann mapping problem of Cherrier–Escobar	2017	Martin Mayer Cheikh Birahim Ndiaye	3
+	Extremal Metrics of Zeta Function Determinants on 4-Manfilds	1995	Sun‐Yung A. Chang Paul Yang	3
+	A flow approach to Nirenberg's problem	2005	Michaël Struwe	3
+	Convergence of the Q-curvature flow on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:math>	2005	Simon Brendle	3
+	Convergence of the Yamabe flow for large energies	2003	Hartmut Schwetlick Michaël Struwe	3
+ PDF Chat	Sharp integral inequalities for harmonic functions	2007	Fengbo Hang Xiaodong Wang Xiaodong Yan	3
+	Paneitz-type operators and applications	2000	Zindine Djadli Emmanuel Hebey M. Ledoux	3
+	Prescribing Scalar Curvature on Sn and Related Problems, Part I	1995	Y.Y. Li	3
+ PDF Chat	Conformal deformation of a Riemannian metric to constant scalar curvature	1984	Richard Schoen	3
+	Conformal curvature flows on compact manifold of negative Yamabe constant	2018	Xuezhang Chen Pak Tung Ho	3
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	2
+	Introduction to Fourier Analysis on Euclidean Spaces.	1971	Elias M. Stein Guido Weiss	2
+ PDF Chat	Conformal deformation of metrics on $S^2$	1988	Sun‐Yung A. Chang Paul Yang	2
+	Sharp Sobolev trace inequalities on Riemannian manifolds with boundaries	1997	Yanyan Li Mei‐Jun Zhu	2