Li, Mengni2022-10-262022-10-262021-10-18Li, M. (2021). Singular Monge-Ampere equations over convex domains. <i>Electronic Journal of Differential Equations, 2021</i>(86), pp. 1-18.1072-6691https://hdl.handle.net/10877/16244In this article we are interested in the Dirichlet problem for a class of singular Monge-Ampère equations over convex domains being either bounded or unbounded. By constructing a family of sub-solutions, we prove the existence and global Hölder estimates of convex solutions to the problem over convex domains. The global regularity provided essentially depends on the convexity of the domain.Text18 pages1 file (.pdf)enAttribution 4.0 InternationalDirichlet problemHölder estimateBounded convex domainUnbounded convex domainArticle