Please use this identifier to cite or link to this item:
https://doi.org/10.37256/cm.000247.84-101
| Title: | Nonlinear Partial Differential Equations Arising from Prescribed Curvature Problems | Authors: | Leung Man Chun | Keywords: | blow-up Monge-Ampére Equation optimal transport problem |
Issue Date: | 28-Mar-2020 | Publisher: | Universal Wiser Publisher | Citation: | Leung Man Chun (2020-03-28). Nonlinear Partial Differential Equations Arising from Prescribed Curvature Problems. Contemporary Mathematics 1 (2) : 84-101. ScholarBank@NUS Repository. https://doi.org/10.37256/cm.000247.84-101 | Abstract: | We consider two prominent nonlinear partial differential equations (nonlinear PDE) linked to the prescribed curvature problems, namely, the Minkowski problem and the Kazdan-Warner/Nirenberg problem (prescribed scalar curvature problem). This article addresses some of the modern techniques in analysis used to draw out a number of the profound features in these equations. | Source Title: | Contemporary Mathematics | URI: | https://scholarbank.nus.edu.sg/handle/10635/157119 | ISSN: | 2705-1064 2705-1056 |
DOI: | 10.37256/cm.000247.84-101 |
| Appears in Collections: | Staff Publications Elements |
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| File | Description | Size | Format | Access Settings | Version | |
|---|---|---|---|---|---|---|
| LEUNG-Curvature PDE.pdf | 134.25 kB | Adobe PDF | OPEN | Pre-print | View/Download |
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