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Volume 35, Issue 2
The Neumann Problem of Complex Special Lagrangian Equations with Supercritical Phase

Chuanqiang Chen, Xinan Ma & Wei Wei

DOI: 10.4208/ata.OA-0003

Anal. Theory Appl., 35 (2019), pp. 144-162.

Published online: 2019-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

Inspired by the Neumann problem of real special Lagrangian equations with supercritical phase, we consider the Neumann problem of complex special Lagrangian equations with supercritical phase in this paper, and establish the global $C^2$ estimates and the existence theorem by the method of continuity.

  • Keywords

Special Lagrangian equation, Neumann problem, supercritical phase.

  • AMS Subject Headings

35J60, 35B45

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-35-144, author = {Chuanqiang Chen, Xinan Ma and Wei Wei}, title = {The Neumann Problem of Complex Special Lagrangian Equations with Supercritical Phase}, journal = {Analysis in Theory and Applications}, year = {2019}, volume = {35}, number = {2}, pages = {144--162}, abstract = {

Inspired by the Neumann problem of real special Lagrangian equations with supercritical phase, we consider the Neumann problem of complex special Lagrangian equations with supercritical phase in this paper, and establish the global $C^2$ estimates and the existence theorem by the method of continuity.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-0003}, url = {http://global-sci.org/intro/article_detail/ata/13111.html} }
TY - JOUR T1 - The Neumann Problem of Complex Special Lagrangian Equations with Supercritical Phase AU - Chuanqiang Chen, Xinan Ma & Wei Wei JO - Analysis in Theory and Applications VL - 2 SP - 144 EP - 162 PY - 2019 DA - 2019/04 SN - 35 DO - http://doi.org/10.4208/ata.OA-0003 UR - https://global-sci.org/intro/article_detail/ata/13111.html KW - Special Lagrangian equation, Neumann problem, supercritical phase. AB -

Inspired by the Neumann problem of real special Lagrangian equations with supercritical phase, we consider the Neumann problem of complex special Lagrangian equations with supercritical phase in this paper, and establish the global $C^2$ estimates and the existence theorem by the method of continuity.

Chuanqiang Chen, Xinan Ma and Wei Wei. (2019). The Neumann Problem of Complex Special Lagrangian Equations with Supercritical Phase. Analysis in Theory and Applications. 35 (2). 144-162. doi:10.4208/ata.OA-0003
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