On the Monge-Ampere equation with boundary blow-up: existence, uniqueness and asymptotics
We consider the Monge-Ampère equation det D 2 u = b(x)f(u) > 0 in Ω, subject to the singular boundary condition u = ∞ on Ω. We assume that b C (overline)Ω is positive in Ω and non-negative on Ω. Under suitable conditions on f, we establish the exi
|Collections||ANU Research Publications|
|Source:||Calculus of Variations and Partial Differential Equations|
|01_Cirstea_On_the_Monge-Ampere_equation_2008.pdf||316.97 kB||Adobe PDF||Request a copy|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.