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Oblique boundary value problems for augmented Hessian equations I

Jiang, Feida; Trudinger, Neil

Description

In this paper, we study global regularity for oblique boundary value problems of augmented Hessian equations for a class of general operators. By assuming a natural convexity condition of the domain together with appropriate convexity conditions on the matrix function in the augmented Hessian, we develop a global theory for classical elliptic solutions by establishing global a priori derivative estimates up to second order. Besides the known applications for Monge–Ampère type operators in...[Show more]

CollectionsANU Research Publications
Date published: 2018
Type: Journal article
URI: http://hdl.handle.net/1885/163999
Source: Bulletin of Mathematical Sciences
DOI: 10.1007/s13373-018-0124-2

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