The $L_p$ Gauss image problem
Abstract
In this paper we study the $L_p$ Gauss image problem, which is a generalization of the $L_p$ Aleksandrov problem and the Gauss image problem in convex geometry. We obtain the existence result for the $L_p$ Gauss image problem in two cases (i) $p>0$ or (ii) $p<0$ with the given even measures.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2021
- DOI:
- arXiv:
- arXiv:2105.02463
- Bibcode:
- 2021arXiv210502463W
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35J96;
- 52A20
- E-Print:
- 20 pages