NDLI: Oblique boundary value problems for augmented Hessian equations III

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Oblique boundary value problems for augmented Hessian equations III

Content Provider	Scilit
Author	Jiang, Feida Trudinger, Neil S.
Copyright Year	2019
Description	In bounded domains, without any geometric conditions, we study the existence and uniqueness of globally Lipschitz and interior strong $C1,1, (and classical $C^{2}$), solutions of general semilinear oblique boundary value problems for degenerate (and non-degenerate), augmented Hessian equations, with strictly regular associated matrix functions. By establishing local second derivative estimates at the boundary and proving viscosity comparison principles, we show that the solution is correspondingly smooth near boundary points where the appropriate uniform convexity is satisfied.$
Related Links	http://arxiv.org/pdf/1812.01235
Ending Page	748
Page Count	41
Starting Page	708
ISSN	03605302
e-ISSN	15324133
DOI	10.1080/03605302.2019.1597113
Journal	Communications in Partial Differential Equations
Issue Number	8
Volume Number	44
Language	English
Publisher	Informa UK Limited
Publisher Date	2019-04-11
Access Restriction	Open
Subject Keyword	Mathematics Augmented Hessian Equations Degenerate Equations Existence Local Second Derivative Estimates Oblique Boundary Value Problems Uniqueness
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

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