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Xi-Nan Ma

University of Science and Technology of China

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Publication

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Transactions of the American Mathematical Society | 2012

Curvature estimates in dimensions 2 and 3 for the level sets of p-harmonic functions in convex rings

Jürgen Jost; Xi-Nan Ma; Qianzhong Ou

Sharp curvature estimates are given for the level sets of a class of p-harmonic functions in two and three dimensional convex rings.

Archive for Rational Mechanics and Analysis | 2005

Regularity of potential functions of the optimal transportation problem

Xi-Nan Ma; Neil S. Trudinger; Xu-Jia Wang

Communications on Pure and Applied Mathematics | 2007

A constant rank theorem for solutions of fully nonlinear elliptic equations

Luis A. Caffarelli; Pengfei Guan; Xi-Nan Ma

Calculus of Variations and Partial Differential Equations | 2004

On the Christoffel-Minkowski problem of Firey’s p-sum

Changqing Hu; Xi-Nan Ma; Chunli Shen

Communications on Pure and Applied Mathematics | 2010

Gaussian curvature estimates for the convex level sets of p‐harmonic functions

Xi-Nan Ma; Qianzhong Ou; Wei Zhang

Journal of Functional Analysis | 2008

The convexity of solution of a class Hessian equation in bounded convex domain in R 3

Xi-Nan Ma; Lu Xu

Communications on Pure and Applied Mathematics | 2006

The Christofel‐Minkowski problem III: Existence and convexity of admissible solutions

Pengfei Guan; Xi-Nan Ma; Feng Zhou

Chinese Annals of Mathematics, Series B | 2006

The Christoffel-Minkowski Problem II: Weingarten Curvature Equations*

Pengfei Guan; Chang-Shou Lin; Xi-Nan Ma

Advances in Mathematics | 2010

A Brunn-Minkowski inequality for the Hessian eigenvalue in three-dimensional convex domain

Pan Liu; Xi-Nan Ma; Lu Xu

Indiana University Mathematics Journal | 2011

A Constant Rank Theorem for Quasiconcave Solutions of Fully Nonlinear Partial Differential Equations

Baojun Bian; Pengfei Guan; Xi-Nan Ma; Lu Xu

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Collaboration

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Pengfei Guan

McGill University

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Lu Xu

Chinese Academy of Sciences

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Fei Han

Xinjiang Normal University

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Neil S. Trudinger

Australian National University

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Damin Wu

Ohio State University

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Chang-Shou Lin

National Taiwan University

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Chuanqiang Chen

University of Science and Technology of China

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Feng Zhou

East China Normal University

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Guohuan Qiu

University of Science and Technology of China

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Jinju Xu

Shanghai University

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