Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The general dual-polar Orlicz-Minkowski problem   This paper gives a systematic study to the general dual-polar
Orlicz-Minkowski problem (e.g., Problem \ref{general-dual-polar}). This problem
involves the general dual volume $\widetilde{V}_G(\cdot)$ recently proposed in
\cite{GHWXY, GHXY} in order to study the general dual Orlicz-Minkowski problem.
As $\widetilde{V}_G(\cdot)$ extends the volume and the $q$th dual volume, the
general dual-polar Orlicz-Minkowski problem is "polar" to the recently
initiated general dual Orlicz-Minkowski problem in \cite{GHWXY, GHXY} and
"dual" to the newly proposed polar Orlicz-Minkowski problem in \cite{LuoYeZhu}.
The existence, continuity and uniqueness, if applicable, for the solutions to
the general dual-polar Orlicz-Minkowski problem are established. Polytopal
solutions and/or counterexamples to the general dual-polar Orlicz-Minkowski
problem for discrete measures are also provided. Several variations of the
general dual-polar Orlicz-Minkowski problem are discussed as well, in
particular the one leading to the general Orlicz-Petty bodies.

11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th