On Monge-Ampère equations with nonlinear gradient terms – Infinite boundary value problems

Authors :: Ahmed Mohammed
Giovanni Porru
Source :: Journal of Differential Equations. 300:426-457
Publication Year :: 2021
Publisher :: Elsevier BV, 2021.
Abstract: The paper investigates the existence, asymptotic boundary behavior and uniqueness of convex solutions to the Monge-Ampere equation that take infinite values on the boundary of smooth and bounded open convex sets in R n .

Subjects :: Nonlinear system
Mathematics::Complex Variables
Applied Mathematics
Bounded function
Mathematical analysis
Mathematics::Analysis of PDEs
Regular polygon
Boundary (topology)
Uniqueness
Boundary value problem
Ampere
Analysis
Mathematics

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