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Isoperimetric problem and Minkowski problem in integral and convex geometry
发布时间:2018-03-29     点击次数:
报告题目: Isoperimetric problem and Minkowski problem in integral and convex geometry
报 告 人: 周家足 教授(西南大学数学与统计学院)
报告时间: 2018年03月30日 16:00--17:00
报告地点: 理学院东北楼四楼报告厅(404)
报告摘要:

 The classical isoperimetric problem is to determine a plane figure of the largest possible area with boundary of a given length and it was known in Ancient Greece. However, the first mathematically rigorous proof was obtained only in the 19th century by Weierstrass (based on works of Bernoulli, Euler, Lagrange).

Another well-known problem in differential geometry is Minkowski problem. The Minkowski problem in integral and convex geometry becomes a hot topic recently.

We recently obtained the sharp convex mixed Lorentz-Sobolev inequality and proved that it is equivalent to a new Minkowski  inequality in integral and convex geometry. These new inequalities obtained are closely related to isoperimetric problem and Minkowski problem in integral and convex geometry.

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