On Neumann problem for the degenerate Monge–Ampère type equations

Abstract In this paper, we study the global C 1 , 1 $C^{1, 1}$ regularity for viscosity solution of the degenerate Monge–Ampère type equation det [ D 2 u − A ( x , D u ) ] = B ( x , u , D u ) $\det [D^{2}u-A(x, Du)]=B(x, u, Du)$ with the Neumann boundary value condition D ν u = φ ( x ) $D_{\nu }u=\v...

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Bibliographic Details
Main Authors: Juhua Shi, Feida Jiang
Format: Article
Language:English
Published: SpringerOpen 2021-01-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-021-01486-w