Xi‐Nan Ma

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All published works

Action	Title	Year	Authors
+	Jerison-Lee identities and semi-linear subelliptic equations on Heisenberg group	2025	Xi‐Nan Ma Qianzhong Ou Tian Wu
+ PDF Chat	Best constant and extremal functions for a class Hardy-Sobolev-Maz'ya inequalities	2024	Daowen Lin Xi‐Nan Ma
+ PDF Chat	不变张量技术在半线性椭圆与次椭圆偏微分方程解的分类中的应用	2024	Xi‐Nan Ma Wu Tian
+	Liouville type theorem for a class quasilinear p-Laplace type equation on the sphere	2023	Daowen Lin Xi‐Nan Ma
+	Entire solutions of the magnetic Ginzburg-Landau equation in R4	2023	Yong Liu Xi‐Nan Ma Juncheng Wei Wangzhe Wu
+ PDF Chat	A Liouville theorem for a class semilinear elliptic equations on the Heisenberg group	2023	Xi‐Nan Ma Qianzhong Ou
+ PDF Chat	The exterior Dirichlet problem for the homogeneous complex <i>k</i>-Hessian equation	2023	Zhenghuan Gao Xi‐Nan Ma Dekai Zhang
+	The Dirichlet problem of the homogeneous $k$-Hessian equation in a punctured domain	2023	Zhenghuan Gao Xi‐Nan Ma Dekai Zhang
+	The Dirichlet problem of homogeneous complex k-Hessian equation in a (k-1)-pesudoconvex domain with isolated singularity	2023	Zhenghuan Gao Xi‐Nan Ma Dekai Zhang
+	Gradient estimates for the solutions of higher order curvature equations with prescribed contact angle	2023	Bin Deng Xi‐Nan Ma
+	Liouville theorem for elliptic equations involving the product of the function and its gradient in $\mathbb R^n$	2023	Xi‐Nan Ma Wangzhe Wu
+	Jerison-Lee identity and Semi-linear subelliptic equation on CR manifold	2023	Xi‐Nan Ma Qianzhong Ou Tian Wu
+ PDF Chat	Preface for the special issue on “Geometric Partial Differential Equations and Applications”	2023	Guozhen Lu Xi‐Nan Ma William P. Minicozzi Weimin Sheng
+	Remarks on convexity estimates for solutions of the torsion problem	2022	Xiaohan Jia Xi‐Nan Ma Shujun Shi
+	Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator	2022	Xiaohan Jia Xi‐Nan Ma Shujun Shi
+	The exterior Dirichlet problem for the homogeneous $k$-Hessian equation	2022	Xi‐Nan Ma Dekai Zhang
+	The exterior Dirichlet Problem for homogeneous complex $k$-Hessian equation	2022	Zhenghuan Gao Xi‐Nan Ma Dekai Zhang
+	Liouville type theorem for a class quasilinear $p$-Laplace type equation on the sphere	2022	Daowen Lin Xi‐Nan Ma
+	Superharmonicity of curvature function for the convex level sets of harmonic functions	2021	Xi‐Nan Ma Wei Zhang
+	Entire solutions of the magnetic Ginzburg-Landau equation in $\mathbb{R}^4$	2021	Yong Liu Xi‐Nan Ma Juncheng Wei Wangze Wu
+	The Neumann Problem for Parabolic Hessian Quotient Equations	2020	Chuanqiang Chen Xi‐Nan Ma Dekai Zhang
+	The Neumann problem of special Lagrangian equations with supercritical phase	2019	Chuanqiang Chen Xi‐Nan Ma Wei Wei
+ PDF Chat	On Space-Time Quasiconcave Solutions of the Heat Equation	2019	Chuanqiang Chen Xi‐Nan Ma Paolo Salani
+ PDF Chat	The Neumann Problem for Hessian Equations	2019	Xi‐Nan Ma Guohuan Qiu
+ PDF Chat	The microscopic convexity of level sets of solutions for elliptic and parabolic equations	2018	Chuanqiang Chen Xi‐Nan Ma
+	Constant mean curvature surfaces and mean curvature flow with non-zero Neumann boundary conditions on strictly convex domains	2017	Xi‐Nan Ma Peihe Wang Wei Wei
+	Boundary gradient estimate of the solution to mean curvature equations with Neumann boundary or prescribed contact angle boundary	2017	Xi‐Nan Ma Peihe Wang
+	Gradient estimates of mean curvature equations with Neumann boundary value problems	2016	Xi‐Nan Ma Jinju Xu
+	The Neumann Problem for Hessian Equations	2015	Xi‐Nan Ma Guohuan Qiu
+ PDF Chat	Curvature estimates for the level sets of solutions to the Monge-Ampère equation detD 2 u = 1	2014	Chuanqiang Chen Xi‐Nan Ma Shujun Shi
+	On space-time quasiconcave solutions of the heat equation	2014	Chuanqiang Chen Xi‐Nan Ma Paolo Salani
+	Gradient Estimates of Mean Curvature Equations with Neumann Boundary Condition	2014	Xi‐Nan Ma Jinju Xu
+	On space-time quasiconcave solutions of the heat equation	2014	Chuanqiang Chen Xi‐Nan Ma Paolo Salani
+ PDF Chat	The Concavity of the Gaussian Curvature of the Convex Level Sets of $$p$$ p -Harmonic Functions with Respect to the Height	2013	Xi‐Nan Ma Wei Zhang
+	Curvature estimates for the level sets of solutions of the Monge-Ampère equation $\det D^2 u=1$	2013	Chuanqiang Chen Xi‐Nan Ma Shujun Shi
+	The Convexity and the Gaussian Curvature Estimates for the Level Sets of Harmonic Functions on Convex Rings in Space Forms	2012	Xi‐Nan Ma Yongbing Zhang
+ PDF Chat	Curvature estimates in dimensions 2 and 3 for the level sets of $p$-harmonic functions in convex rings	2012	Jürgen Jost Xi‐Nan Ma Qianzhong Ou
+	The Convexity Estimates for the Solutions of Two Elliptic Equations	2012	Xi‐Nan Ma Shujun Shi Yu Ye
+	A constant rank theorem for spacetime convex solutions of heat equation	2011	Bowen Hu Xi‐Nan Ma
+	A constant rank theorem for quasiconcave solutions of fully nonlinear partial differential equations	2011	Baojin Bian Pengfei Guan Xi‐Nan Ma Lu Xu
+ PDF Chat	On a class of fully nonlinear flows in Kähler geometry	2011	Hao Fang Mijia Lai Xi‐Nan Ma
+	Principal curvature estimates for the level sets of harmonic functions and minimal graphs in $R^3$	2010	Xi‐Nan Ma Jiang Ye Yun‐Hua Ye
+	The existence of k-convex hypersurface with prescribed mean curvature	2010	Fei Han Xi‐Nan Ma Damin Wu
+	A Brunn–Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain	2010	Pan Liu Xi‐Nan Ma Lu Xu
+ PDF Chat	A constant rank theorem for level sets of immersed hypersurfaces in ℝ<sup><i>n</i>+1</sup>with prescribed mean curvature	2010	Changqing Hu Xi‐Nan Ma Qianzhong Ou
+	Gaussian curvature estimates for the convex level sets of <i>p</i>‐harmonic functions	2010	Xi‐Nan Ma Qianzhong Ou Wei Zhang
+ PDF Chat	Principal curvature estimates for the convex level sets of semilinear elliptic equations	2010	Sun‐Yung A. Chang Xi‐Nan Ma Paul Yang
+ PDF Chat	A Form of Alexandrov-Fenchel Inequality	2010	Pengfei Guan Xi‐Nan Ma Neil S. Trudinger Xiaohua Zhu
+	A second order estimate for complex Hessian equations on a compact Kähler manifold	2010	Zuoliang Hou Xi‐Nan Ma Damin Wu
+ PDF Chat	A Constant Rank Theorem for Hermitian $k$-Convex Solutions of Complex Laplace Equations	2009	Fei Han Xi‐Nan Ma Damin Wu
+	On a class of fully nonlinear flow in Kähler geometry	2009	Hao Fang Mijia Lai Xi‐Nan Ma
+	The convexity of solution of a class Hessian equation in bounded convex domain in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="double-struck">R</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:math>	2008	Xi‐Nan Ma Lu Xu
+	Complex Hessian Equations on Compact Kahler Manifold	2008	Zuoliang Hou Xi‐Nan Ma Damin Wu
+ PDF Chat	A constant rank theorem for solutions of fully nonlinear elliptic equations	2007	Luis Caffarelli Pengfei Guan Xi‐Nan Ma
+	The Christoffel-Minkowski Problem II: Weingarten Curvature Equations*	2006	Pengfei Guan Chang‐Shou Lin Xi‐Nan Ma
+ PDF Chat	The Christofel‐Minkowski problem III: Existence and convexity of admissible solutions	2006	Pengfei Guan Xi‐Nan Ma Feng Zhou
+	Regularity of Potential Functions of the Optimal Transportation Problem	2005	Xi‐Nan Ma Neil S. Trudinger Xu‐Jia Wang
+	Convex solutions of fully nonlinear elliptic equations in classical differential geometry	2005	Pengfei Guan Xi‐Nan Ma
+	On the Christoffel-Minkowski problem of Firey?s p-sum	2004	Changqing Hu Xi‐Nan Ma Shen Chunli
+	The Christoffel-Minkowski problem I: Convexity of solutions of a Hessian equation	2003	Pengfei Guan Xi‐Nan Ma
+	Concavity estimates for a class of nonlinear elliptic equations in two dimensions	2002	Xi‐Nan Ma
+	On a Hessian equation on Sn	2001	Pengfei Guan Xi‐Nan Ma
+ PDF Chat	Sharp size estimates for capillary free surfaces without gravity	2000	Xi‐Nan Ma
+	A Sharp Minimum Principle for the Problem of Torsional Rigidity	1999	Xi‐Nan Ma
+ PDF Chat	A necessary condition of solvability for the capillarity boundary of Monge-Ampere equations in two dimensions	1999	Xi‐Nan Ma

Common Coauthors

Coauthor	Papers Together
Chuanqiang Chen	8
Dekai Zhang	6
Qianzhong Ou	6
Pengfei Guan	6
Shujun Shi	5
Damin Wu	4
Zhenghuan Gao	4
Paolo Salani	3
Lu Xu	3
Pengfei Guan	2
Fei Han	2
Wangzhe Wu	2
Jinju Xu	2
Guohuan Qiu	2
Changqing Hu	2
Tian Wu	2
Neil S. Trudinger	2
Wei Wei	2
Peihe Wang	2
Daowen Lin	2
Zuoliang Hou	2
Mijia Lai	2
Hao Fang	2
Xiaohan Jia	2
Juncheng Wei	2
Baojin Bian	1
Sun‐Yung A. Chang	1
Bin Deng	1
Bowen Hu	1
Paul Yang	1
Xu‐Jia Wang	1
Wangze Wu	1
Chang‐Shou Lin	1
Daowen Lin	1
William P. Minicozzi	1
Luis A. Caffarelli	1
Shen Chunli	1
Jürgen Jost	1
Weimin Sheng	1
Yun‐Hua Ye	1
Yong Liu	1
Pan Liu	1
Yong Liu	1
Yu Ye	1
Wei Zhang	1
Wei Zhang	1
Wei Zhang	1
Feng Zhou	1
Yongbing Zhang	1
Jiang Ye	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Convexity of solutions of semilinear elliptic equations	1985	Luis Caffarelli Avner Friedman	19
+	Convex solutions of certain elliptic equations have constant rank hessians	1987	Nicholas J. Korevaar John L. Lewis	17
+ PDF Chat	The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian	1985	Luis Caffarelli Louis Nirenberg Joel Spruck	16
+	The Christoffel-Minkowski problem I: Convexity of solutions of a Hessian equation	2003	Pengfei Guan Xi‐Nan Ma	15
+	Convexity properties of solutions to some classical variational problems	1982	Luis Caffarelli Joel Spruck	15
+	A Result Concerning Convex Level Surfaces of 3-Dimensional Harmonic Functions	1957	R. M. Gabriel	14
+	Gaussian curvature estimates for the convex level sets of <i>p</i>‐harmonic functions	2010	Xi‐Nan Ma Qianzhong Ou Wei Zhang	12
+ PDF Chat	Rearrangements and Convexity of Level Sets in PDE	1985	Bernhard Kawohl	12
+	Capacitary functions in convex rings	1977	John L. Lewis	12
+	Conexity Of Level Sets For Solutions To elliptic Ring Problems	1990	Nichlas J. Dorevaar	11
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	10
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	10
+	The Minkowski multidimensional problem	1978	А. В. Погорелов	9
+	Quasiconcave solutions to elliptic problems in convex rings	2009	Chiara Bianchini Marco Longinetti Paolo Salani	9
+ PDF Chat	A constant rank theorem for solutions of fully nonlinear elliptic equations	2007	Luis Caffarelli Pengfei Guan Xi‐Nan Ma	9
+	An estimate of the gap of the first two eigenvalues in the Schrödinger operator	1985	I. M. Singer Bun Wong Shing‐Tung Yau Stephen S.‐T. Yau	9
+	On Surfaces of Stationary Area Bounded by Two Circles, or Convex Curves, in Parallel Planes	1956	Max Shiffman	8
+	On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation	1976	H. J. Brascamp Élliott H. Lieb	8
+	Second Order Parabolic Differential Equations	1996	Gary M. Lieberman	8
+	On the Hessian matrix and Minkowski addition of quasiconvex functions	2007	Marco Longinetti Paolo Salani	7
+	Convex viscosity solutions and state constraints	1997	Olivier Alvarez Jean Michel Lasry Pierre‐Louis Lions	7
+ PDF Chat	A microscopic convexity principle for nonlinear partial differential equations	2009	Baojun Bian Pengfei Guan	7
+	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	7
+	The dirichlet problem for nonlinear second‐order elliptic equations I. Monge‐ampégre equation	1984	Luis Caffarelli Louis Nirenberg Joel Spruck	7
+	Existence and regularity of a capillary surface with prescribed contact angle	1976	Leon Simon Joel Spruck	7
+ PDF Chat	Curvature estimates for the level sets of spatial quasiconcave solutions to a class of parabolic equations	2011	ChuanQiang Chen Shujun Shi	6
+ PDF Chat	Curvature of Level Curves of Harmonic Functions	1983	Marvin Ortel W. J. Schneider	6
+	A remark on N. Korevaar's concavity maximum principle and on the asymptotic uniqueness of solutions to the plasma problem	1986	Bernd Kawohl L. E. Payne	6
+	Solution of Dirichlet's problem for the equation ?u =?1 in a convex region	1971	Leonid Makar-Limanov	6
+	Convex Hypersurfaces of Prescribed Curvatures	2002	Bo Guan Pengfei Guan	6
+	On functions, whose lines of steepest descent bend proportionally to level lines	1983	Giorgio Talenti	6
+ PDF Chat	Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations	2012	Pengfei Guan Xu Lu	6
+	The Christoffel-Minkowski Problem II: Weingarten Curvature Equations*	2006	Pengfei Guan Chang‐Shou Lin Xi‐Nan Ma	6
+ PDF Chat	On the Dirichlet problem for Hessian equations	1995	Neil S. Trudinger	6
+	Conformal Invariants: Topics in Geometric Function Theory	1973	Lars V. Ahlfors	6
+ PDF Chat	On minimal surfaces bounded by two convex curves in parallel planes	1987	Marco Longinetti	6
+	A constant rank theorem for quasiconcave solutions of fully nonlinear partial differential equations	2011	Baojin Bian Pengfei Guan Xi‐Nan Ma Lu Xu	6
+ PDF Chat	Principal curvature estimates for the convex level sets of semilinear elliptic equations	2010	Sun‐Yung A. Chang Xi‐Nan Ma Paul Yang	5
+ PDF Chat	Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary	2006	Qinian Jin Aobing Li Yanyan Li	5
+ PDF Chat	The neumann problem for equations of monge‐ampère type	1986	Pierre‐Louis Lions Neil S. Trudinger John Urbas	5
+	None	2000	Christer Borell	5
+	On new isoperimetric inequalities and symmetrization.	1997	Neil S. Trudinger	5
+ PDF Chat	A maximum principle for sums of subharmonic functions, and the convexity of level sets.	1989	Jean-Pierre Rosay Walter Rudin	5
+ PDF Chat	On degenerate fully nonlinear elliptic equations in balls	1987	Neil S. Trudinger	5
+	The Christoffel-Minkowski Problem II： Weingarten Curvature Equations	2006	Pengfei Guan Changshou Lin Xi'nan Ma -	5
+	A uniqueness theorem in Kähler geometry	2009	Pengfei Guan Qun Li Xi Zhang	4
+ PDF Chat	Curvature estimates in dimensions 2 and 3 for the level sets of $p$-harmonic functions in convex rings	2012	Jürgen Jost Xi‐Nan Ma Qianzhong Ou	4
+	Quasi–concave envelope of a function and convexity of level sets of solutions to elliptic equations	2003	Andrea Colesanti Paolo Salani	4
+ PDF Chat	Brownian motion in a convex ring and quasi-concavity	1982	Christer Borell	4
+	Lewy's harmonic gradient maps in higher dimensions	1991	Stewart Gleason Thomas Wolff	4