Entire solutions to the Monge-Ampère equation |
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| Authors: | Lamia Bel Kenani Toukabri |
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| Affiliation: | a Departement de Mathématiques, Institut Préparatoire des Études d'Ingénieurs de Tunis, Tunisia
b Departement de Mathématiques, Faculté des Sciences de Tunis, Tunisia |
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| Abstract: | We consider the Monge-Ampère equation det(D2u)=Ψ(x,u,Du) in Rn, n?3, where Ψ is a positive function in C2(Rn×R×Rn). We prove the existence of convex solutions, provided there exist a subsolution of the form  and a superharmonic bounded positive function φ satisfying:  . |
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| Keywords: | Subsolution Monge-Ampè re equation Entire solution |
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