Publications of Xi-Nan MA:

1, Chen, Chuanqiang; Ma, Xinan; Wei, Wei, The Neumann problem of special Lagrangian equations with supercritical phase. J. Differential Equations 267 (2019), no. 9, 5388-5409.

2, Chen, Chuanqiang; Ma, Xinan; Salani, Paolo, On space-time quasiconcave solutions of the heat equation. Mem. Amer. Math. Soc. 259 (2019), no. 1244, v+81 pp. ISBN: 978-1-4704-3524-0; 978-1-4704-5243-8

3, Chen, Chuanqiang; Ma, Xinan; Wei, Wei, The Neumann problem of complex special Lagrangian equations with supercritical phase. Anal. Theory Appl. 35 (2019), no. 2, 144-162.

4, Ma, Xinan Qiu, Guohuan, The Neumann problem for Hessian equations. Comm. Math. Phys. 366 (2019), no. 1, 1-28.

5, Ma, Xi-Nan; Wang, Pei-He; Wei, Wei, Constant mean curvature surfaces and mean curvature flow with non-zero Neumann boundary conditions on strictly convex domains. J. Funct. Anal. 274 (2018), no. 1, 252-277.

6, Chen, Chuan-Qiang; Ma, Xi-Nan, The microscopic convexity of level sets of solutions for elliptic and parabolic equations. Scientia SINICA Mathematica (2018), no. 10, 1205-1218. (in Chinese)

7, Ma, Xi-Nan; Wang, Pei-He, Boundary gradient estimate of the solution to mean curvature equations with Neumann boundary or prescribed contact angle boundary . Scientia SINICA Mathematica (2018), no. 1, 213-226. (in Chinese)

8, Ma, Xi-Nan, Convexity of the solutions of elliptic and parabolic equations. University mathematicas. Vol. 32, (2016), no. 5, 1-17. (in Chinese)

9, Ma, Xinan; Xu, Jinju, Gradient estimates of mean curvature equations with Neumann boundary value problems. Adv. Math. 290 (2016), 1010-1039.

10, Wang, Peihe; Ma, Xinan, Curvature estimates for the level sets of solutions to the Monge-Ampre equation \(\det\mathrm{D}^2u=1\). Chin. Ann. Math. Ser. B 35 (2014), no. 6, 895-906.

11, Ma, Xi-Nan; Zhang, Yongbing, The convexity and the Gaussian curvature estimates for the level sets of harmonic functions on convex rings in space forms. J. Geom. Anal. 24 (2014), no. 1, 337-374.

12, Xinan Ma and Wei Zhang, The concavity of the Gaussian curvature of the convex level sets of \(p\)-harmonic functions with respect to the height, Commun. Math. Stat. (2013) 1:465-489.

13, Xinan Ma, Shujun Shi and Yu Ye, The convexity estimates for the solutions of two elliptic equations. Comm. Part. Diff. Equations.(37) 2116-2137, 2012.

14, J.Jost, Xinan Ma and Qianzhong Ou, Curvature estimates in dimensions \(2\) and \(3\) for the level sets of \(p\)-harmonic functions in convex rings, Trans. Amer. Math. Soc. 364 (2012), 4605-4627.

15, Bowen Hu and Xinan Ma, Constant rank theorem of the spacetime convex solution of heat equation, Manu. Math.,Volume 138, Numbers 1-2, 89-118, 2012.

16, Xinan Ma, Jiang Ye and Yunhua Ye, Principal curvature estimates for the level sets of harmonic functions and minimal graph in \(\mathbb{R}^3\), Communications on Pure and Applied Analysis,2011, Vol.10, 225-243.

17, Fei Han; Xinan Ma and Damin Wu, The existence of k-convex hypersurface with prescribed mean curvature, Calculus of Variation and Partial Differential Equations42(1-2), 2011, 43-72.

18, Baojun Bian , Pengfei Guan, Xinan Ma and Lu Xu, A constant rank theorem for quasiconcave solutions of fully nonlinear partial differential equations, Indiana Univ. Math. J. Vol.60, no. 1, 101-120, 2011.

19, Xinan Ma, Qianzhong Ou and Wei Zhang, Gaussian curvature estimates for the convex level sets of \(p\)-harmonic functions, Comm. Pure. Appl. Math., 63, (2010), 0935-0971.

20, A.Chang, Xinan Ma and P.Yang, Principal curvature estimates for the convex level sets of semilinear elliptic equations, Discrete Contin. Dyn. Syst. 28, (2010), no. 3, 1151-1164.

21, Zuoliang Hou, Xinan Ma and Damin Wu, A Second Order Estimate for Complex Hessian equations on a compact Kahler manifold, Math. Res. Lett.,17 (3), 2010,547-561.

22, Liu Pan, Xinan Ma and Lu Xu, A Brunn-Minkowski inequality for the Hessian eigenvalue in three dimension convex domain. Adv. in Math.,2010,Volume 225(3),1616-1633.

23, Pengfei Guan, Xinan Ma, Neil Trudinger and Xiaohua Zhu, A Form of Alexandrov-Fenchel Inequality ,Pure and Applied Mathematics Quarterly,2010, Volume 6(4), 99-1012.

24, Changqing Hu; Xinan Ma; Qianzhong Ou, A constant rank theorem for level sets of immersed hypersurfaces in \(\mathbb{R}^{n+1}\) with prescribed mean curvature. Pacific J. Math. 245 (2010), no. 2, 255-271.

25, Xinan Ma; QianZhong Ou, The convexity of level sets for solutions to partial differential equations. Trends in partial differential equations, 295-322, Adv. Lect. Math. (ALM), 10, Int. Press, Somerville, MA, 2010.

26, Pengfei Guan, Changshou Lin and Xinan Ma, The Existence of Convex Body with Prescribed Curvature Measures, International Mathematics Research Notices .2009. N0.11,1947-1975.

27, Han, Fei; Xinan Ma; Wu, Damin, A constant rank theorem for Hermitian k-convex solutions of complex Laplace equations. Methods Appl. Anal. 16 (2009), no. 2, 263-289.

28, Xinan Ma, Lu Xu, The convexity of solution of a class Hessian equation in bounded convex domain in \(\mathbb{R}^3\). J. Funct. Anal. 255 (2008), no. 7, 1713-1723.

29, L.Caffarelli, Pengfei Guan and Xinan Ma, A constant rank theorem for solutions of fully nonlinear elliptic Equations, Comm. Pure. Appl. Math., 2007, 1769-1791.

30, Pengfei Guan, Xinan Ma and Feng Zhou, Christoffel-Minkowski problem III: existence and convexity of admissible solutions, Comm. Pure. Appl. Math., 2006,59(9), 1352 -1376.

31, Pengfei Guan, Changshou Lin and Xinan Ma, The Christoffel-Minkowski problem II: Weingarten curvature equations, Chinese Ann. of Math.Series B Vol.27,No.6,Series B, 595-614,2006.

32, Xinan Ma N. Trudinger and Xu-Jia Wang, Regularity of potential functions of the optimal transportation problem, Archive Rational Mechnical Analysis,177(2), 2005, 151-183.

33, Pengfei Guan and Xinan Ma, Convex solutions of elliptic differential equations in classical differential geometry, Contemporary Mathematics, No.367, 2005, 115-127.

34, Changqing Hu, Xinan Ma and Chunli Shen, On the Christoffel-Minkowski problem of Firey's \(P\)-sum, Calculus of Variation and Partial Differential Equations, 21(2), 2004, 137-155.

35, Pengfei Guan and Xinan Ma, Christoffel-Minkowski problem I: convexity of solutions of a Hessian equation, Inventiones mathematicae, 151(3), 2003, 553-577.

36, Xinan Ma, Concavity estimates for a class of nonlinear elliptic equations in two dimensions, Mathematische Zeitschrift,240(1), 2002, 1-11.

37, Xinan Ma, Sharp size estimates for capillary free surfaces without gravity, Pacific Journal of Mathematics, 192, 2000, 129-142.

38, Xinan Ma, A sharp minimum principle for the problem of torsional rigidity, Journal Mathematical Analysis and Applications, 233, 1999, 257-265.

39, Xinan Ma, A necessary condition of solvability for the capillary boundary of Monge-Ampère Equation in two dimensions, Proceeding of the American Mathematical Society, 127, 1999,763-769.