The Neumann Problem for a Class of Fully Nonlinear Elliptic Partial Differential Equations

The Neumann Problem for a Class of Fully Nonlinear Elliptic Partial Differential Equations

Year:    2023

Author:    Bin Deng

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 4 : pp. 330–356

Abstract

In this paper, we establish global $C^2$ estimates to the Neumann problem for a class of fully nonlinear elliptic equations. As an application, we prove the existence and uniqueness of $k$-admissible solutions to the Neumann problems.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.OA-2021-0041

Analysis in Theory and Applications, Vol. 39 (2023), Iss. 4 : pp. 330–356

Published online:    2023-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    27

Keywords:    Neumann problem fully nonlinear elliptic equation.

Author Details

Bin Deng