Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation

Abstract: In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry. In particular, we extend the Liouville theorem for smooth solutions to the case of viscosity solutions by a completely different method from the smooth case.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation ; volume:12 ; number:1 ; year:2023 ; extent:9
Advances in nonlinear analysis ; 12, Heft 1 (2023) (gesamt 9)

Creator
Jian, Huaiyu
Wang, Xianduo

DOI
10.1515/anona-2022-0284
URN
urn:nbn:de:101:1-2023042914212524015975
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:52 AM CEST

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Associated

  • Jian, Huaiyu
  • Wang, Xianduo

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