Year: 2026
Type: preprint
Abstract: This paper investigates the $L_p$-dual mixed Euclidean-Gauss Minkowski problem associated with the $L_p$-dual mixed Euclidean-Gaussian curvature measure. The solvability of this problem is equivalent to that of a class of Monge-Ampère type equations on the unit sphere. Under smooth assumptions, We establish the existence of solutions for $p<1$, $q<0$, and $q
Source: arXiv (Cornell University)
Authors: Fu, Na, Sun, Jian-Ping, Chen, Bin, Zhao, Ya-Hong
Institution: Lanzhou University of Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: 测度链上带变号Green函数的非局部问题正解的研究
OpenAlex ID: W7214036453