id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejde-324	Li, Mengni	Singular Monge-Ampere equations over convex domains	2021	18	.pdf	application/pdf	7300	404	80	By constructing a family of sub-solutions, we prove the existence and global Hölder estimates of convex solutions to the problem over convex domains. For any point y ∈ Ω, we can find z ∈ ∂Ω be the nearest boundary point to y. Without loss of generality, we assume that the domain Ω satisfies the exterior sphere condition with radius R. By some translations and rotations, we can further assume z = 0, 0 ∈ ∂Ω ∩ ∂BR(y0), Ω ⊂ BR(y0), and the line yz is the xn-axis.	cache/ejde-324.pdf	txt/ejde-324.txt