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On Monge-Ampère Equations with Homogenous Right-Hand Sides
| Content Provider | Semantic Scholar |
|---|---|
| Author | Daskalopoulos, Pangiota Savin, Ovidiu |
| Copyright Year | 2007 |
| Abstract | We study the regularity and behavior at the origin of solutions to the two-dimensional degenerate Monge-Ampere equation det D2u = |x|α with α > −2. We show that when α > 0, solutions admit only two possible behaviors near the origin, radial and nonradial, which in turn implies C2, δ-regularity. We also show that the radial behavior is unstable. For α < 0 we prove that solutions admit only the radial behavior near the origin. © 2008 Wiley Periodicals, Inc. |
| Starting Page | 639 |
| Ending Page | 676 |
| Page Count | 38 |
| File Format | PDF HTM / HTML |
| DOI | 10.1002/cpa.20263 |
| Volume Number | 62 |
| Alternate Webpage(s) | http://www.math.columbia.edu/~savin/dassav1.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/0706.3748v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1002/cpa.20263 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
