Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The dual Minkowski problem for negative indices   Recently, the duals of Federer's curvature measures, called dual curvature
measures, were discovered by Huang, Lutwak, Yang, and Zhang (ACTA, 2016). In
the same paper, they posed the dual Minkowski problem, the characterization
problem for dual curvature measures, and proved existence results when the
index, q, is in (0,n). The dual Minkowski problem includes the Aleksandrov
problem (q = 0) and the logarithmic Minkowski problem (q = n) as special cases.
In the current work, a complete solution to the dual Minkowski problem whenever
q < 0, including both existence and uniqueness, is presented.

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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph