$L_p$高斯图像问题
The $L_p$ Gauss image problem
摘要：
本文研究了$L_p$ Gauss象问题，它是凸几何中的$L_p$ Aleksandrov问题和Gauss象问题的推广.我们在两种情况下得到了$L_p$高斯映象问题的存在性结果：（i）$p>0$或（ii）具有给定偶测度的$p<0$.
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
