The exterior Dirichlet problems of Monge–Ampère equations in dimension two
Abstract In this paper, we study the Monge–Ampère equations det D 2 u = f $\det D^{2}u=f$ in dimension two with f being a perturbation of f 0 $f_{0}$ at infinity. First, we obtain the necessary and sufficient conditions for the existence of radial solutions with prescribed asymptotic behavior at inf...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-12-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-020-01476-4 |