A generalized rotationally symmetric case of thecentroaffine Minkowski problem

作者：Lu, Jian^*

来源：Journal of Differential Equations, 2018, 264(9): 5838-5869.

DOI：10.1016/j.jde.2018.01.0180022

• Centroaffine Minkowski problem
• Monge-Ampere equation
• Generalized rotational symmetry
• Blaschke-Santalo inequality

In this paper the centroaffine Minkowski problem, acritical case of the L-p-Minkowski problem in the n + 1dimensional Euclidean space, is studied. By its variational structure and the method of blow-up analyses, we obtain two sufficient conditions for the existence of solutions, for a generalized rotationally symmetric case of the problem.

• 出版日期2018-5-5
• 单位浙江工业大学