Lp Minkowski problem with not necessarily positive data

Lp Minkowski problem with not necessarily positive data
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DOI:
10.1016/j.aim.2004.11.007
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发表时间:
2006-03
影响因子:
1.7
通讯作者:
--
中科院分区:
数学1区
文献类型:
--
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飞机上的LpMinkowski问题是最近许多调查的对象。在这里,我们给出了各种关于0⩾p⩾-2的存在性结果。在0>p>-2情形下,给出了问题可解的充要条件。
The LpMinkowski problem in the plane has been the object of a number of recent investigations. Here we present various existence results for 0⩾p⩾-2. In the case 0>p>-2, a necessary and sufficient condition for the solvability of the problem is given.