Convex solutions of Monge-Ampère equations and systems: Existence, uniqueness and asymptotic behavior
Abstract: In this paper, the equations and systems of Monge-Ampère with parameters are considered. We first show the uniqueness of of nontrivial radial convex solution of Monge-Ampère equations by using sharp estimates. Then we analyze the existence and nonexistence of nontrivial radial convex solutions to Monge-Ampère systems, which includes some new ingredients in the arguments. Furthermore, the asymptotic behavior of nontrivial radial convex solutions for Monge-Ampère systems is also considered. Finally, as an application, we obtain sufficient conditions for the existence of nontrivial radial convex solutions of the power-type system of Monge-Ampère equations.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Convex solutions of Monge-Ampère equations and systems: Existence, uniqueness and asymptotic behavior ; volume:10 ; number:1 ; year:2020 ; pages:371-399 ; extent:29
Advances in nonlinear analysis ; 10, Heft 1 (2020), 371-399 (gesamt 29)
- Creator
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Feng, Meiqiang
- DOI
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10.1515/anona-2020-0139
- URN
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urn:nbn:de:101:1-2405021611316.755001596890
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 11:01 AM CEST
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Associated
- Feng, Meiqiang
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