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Volume 39, Issue 4
The Neumann Problem for a Class of Fully Nonlinear Elliptic Partial Differential Equations

Bin Deng

Anal. Theory Appl., 39 (2023), pp. 330-356.

Published online: 2023-12

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  • 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.

  • AMS Subject Headings

35J60, 35J09, 35J40

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COPYRIGHT: © Global Science Press

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@Article{ATA-39-330, author = {Deng , Bin}, title = {The Neumann Problem for a Class of Fully Nonlinear Elliptic Partial Differential Equations}, journal = {Analysis in Theory and Applications}, year = {2023}, volume = {39}, number = {4}, pages = {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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2021-0041}, url = {http://global-sci.org/intro/article_detail/ata/22301.html} }
TY - JOUR T1 - The Neumann Problem for a Class of Fully Nonlinear Elliptic Partial Differential Equations AU - Deng , Bin JO - Analysis in Theory and Applications VL - 4 SP - 330 EP - 356 PY - 2023 DA - 2023/12 SN - 39 DO - http://doi.org/10.4208/ata.OA-2021-0041 UR - https://global-sci.org/intro/article_detail/ata/22301.html KW - Neumann problem, fully nonlinear, elliptic equation. AB -

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.

Deng , Bin. (2023). The Neumann Problem for a Class of Fully Nonlinear Elliptic Partial Differential Equations. Analysis in Theory and Applications. 39 (4). 330-356. doi:10.4208/ata.OA-2021-0041
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