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麻希南老师介绍
麻希南
1969.1 出 生 于浙江省嵊县
1996.6 毕业于 杭州大学数学系, 获博士学位,导师王斯雷教授.
研究方向:偏微分方程,几何分析.
工作简历
1996.7-1998.6 华东师范大学数学系, 博士后.
1998.7- 华东师范大学数学系, 教师.
2005.8 起 中国科学技术大学教授
其中: 访问学者
1999.4-1999.5 中科院数学研究所
2000.7-2000.8 加拿大McMaster大学数学系
2000.9-2001.9 以色列Bar-Ilan大学数学系
2002.3-2002.7 台湾理论科学中心
2002.9-2003.2 澳大利亚国立大学
2003.5-2004.6 德国马普数学研究所（莱比锡）
教学概况
2005.9-2006.1: 解析几何, 完全非线性椭圆方程选讲. 科研情况
研究方向为偏微分方程和几何分析,主要关心其中的一类方程: Monge-Ampere型方程及与之有关的几何问题.
论著目录
1, A necessary condition of solvability for the capillary
boundary of Monge-Amp\`ere Equation in two dimensions,
Proceeding of the American Mathematical Society, 127, 1999,
763-769.
2, A sharp minimum principle for the problem of torsional
rigidity, Journal Mathematical Analysis and Applications,
233, 1999, 257-265.
3, Sharp size estimates for capillary free surfaces without
gravity, Pacific Journal of Mathematics, 192, 2000, 129-142.
4, Concavity estimates for a class of nonlinear elliptic
equations in two dimensions, Mathematische Zeitschrift,
240(1), 2002, 1-11.
5, Christoffel-Minkowski problem I: convexity of solutions of
a Hessian equation (with Pengfei Guan), Inventiones
mathematicae, 151(3), 2003, 553-577.
6, On the Christoffel-Minkowski problem of Firey's P-sum
(with Changqing Hu and Chunli Shen),
Calculus of Variation and Partial Differential Equations,
21(2), 2004, 137-155.
7, Convex solutions of elliptic differential equations in
classical differential geometry (with Pengfei Guan),
Contemporary Mathematics, No.367, 2005, 115-127.
8, Regularity of potential functions of the optimal
transportation problem (with N. Trudinger and Xu-Jia Wang),
Archive Rational Mechnical Analysis,177(2), 2005, 151-183.
9, Christoffel-Minkowski problem III: existence and convexity
of admissible solutions (with Pengfei Guan and Feng ZHOU),
Communications on Pure and Applied Mathematics, accepted.
1969.1 出 生 于浙江省嵊县
1996.6 毕业于 杭州大学数学系, 获博士学位,导师王斯雷教授.
研究方向:偏微分方程,几何分析.
工作简历
1996.7-1998.6 华东师范大学数学系, 博士后.
1998.7- 华东师范大学数学系, 教师.
2005.8 起 中国科学技术大学教授
其中: 访问学者
1999.4-1999.5 中科院数学研究所
2000.7-2000.8 加拿大McMaster大学数学系
2000.9-2001.9 以色列Bar-Ilan大学数学系
2002.3-2002.7 台湾理论科学中心
2002.9-2003.2 澳大利亚国立大学
2003.5-2004.6 德国马普数学研究所（莱比锡）
教学概况
2005.9-2006.1: 解析几何, 完全非线性椭圆方程选讲. 科研情况
研究方向为偏微分方程和几何分析,主要关心其中的一类方程: Monge-Ampere型方程及与之有关的几何问题.
论著目录
1, A necessary condition of solvability for the capillary
boundary of Monge-Amp\`ere Equation in two dimensions,
Proceeding of the American Mathematical Society, 127, 1999,
763-769.
2, A sharp minimum principle for the problem of torsional
rigidity, Journal Mathematical Analysis and Applications,
233, 1999, 257-265.
3, Sharp size estimates for capillary free surfaces without
gravity, Pacific Journal of Mathematics, 192, 2000, 129-142.
4, Concavity estimates for a class of nonlinear elliptic
equations in two dimensions, Mathematische Zeitschrift,
240(1), 2002, 1-11.
5, Christoffel-Minkowski problem I: convexity of solutions of
a Hessian equation (with Pengfei Guan), Inventiones
mathematicae, 151(3), 2003, 553-577.
6, On the Christoffel-Minkowski problem of Firey's P-sum
(with Changqing Hu and Chunli Shen),
Calculus of Variation and Partial Differential Equations,
21(2), 2004, 137-155.
7, Convex solutions of elliptic differential equations in
classical differential geometry (with Pengfei Guan),
Contemporary Mathematics, No.367, 2005, 115-127.
8, Regularity of potential functions of the optimal
transportation problem (with N. Trudinger and Xu-Jia Wang),
Archive Rational Mechnical Analysis,177(2), 2005, 151-183.
9, Christoffel-Minkowski problem III: existence and convexity
of admissible solutions (with Pengfei Guan and Feng ZHOU),
Communications on Pure and Applied Mathematics, accepted.
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