论文标题
在LP高斯Minkowski问题上
On the Lp Gaussian Minkowski problem
论文作者
论文摘要
将提供对$ L_P $ GAUSSIAN MINKOWSKI问题的对称（分别不对称）解决方案的存在。此外，对于$ p> n $的问题的平滑解决方案的存在和独特性也将被证明，而无需限制凸体的高斯体积不少于一秒钟。
Existence of symmetric (resp. asymmetric) solutions to the $L_p$ Gaussian Minkowski problem for $p\leq 0$ (resp. $p\geq 1$) will be provided. Moreover, existence and uniqueness of smooth solutions to the problem for $p>n$ will also be proved without the restriction that the Gaussian volumes of convex bodies are not less than one-second.
