On The Existence of Classical Solutions of Monge-Ampère Type Equations
碩士 === 國立中興大學 === 應用數學系所 === 99 === This works deals with the existence and uniqueness of classical solutions of the Dirichlet problem (P) det(D2u − h|Du|2I) = f(x) in Omega u = 0 on boundary of Omega, in a uniformly convex domain Omega of Rn. In this thesis, we prove the existence and uniqueness of...
Main Authors: | , |
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Other Authors: | |
Format: | Others |
Language: | zh-TW |
Published: |
2011
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Online Access: | http://ndltd.ncl.edu.tw/handle/8wdgur |
Summary: | 碩士 === 國立中興大學 === 應用數學系所 === 99 === This works deals with the existence and uniqueness of classical solutions of the Dirichlet problem
(P)
det(D2u − h|Du|2I) = f(x) in Omega
u = 0 on boundary of Omega,
in a uniformly convex domain Omega of Rn. In this thesis, we prove the existence and uniqueness of classical solutions of the problem (P) for all
small h > 0 under some smooth conditions on f and Omega.
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