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Some existence results for fully nonlinear elliptic equations of monge‐ampère type
Author(s) -
Li Yanyan
Publication year - 1990
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160430204
Subject(s) - mathematics , uniqueness , type (biology) , nirenberg and matthaei experiment , nonlinear system , mathematical analysis , pure mathematics , ecology , physics , quantum mechanics , biology
We study the existence and uniqueness of solutions of Monge‐Ampère‐type equations. This type of equations has been studied extensively by Caffarelli, Nirenberg, Spruck and many others. (See [5] through [8] and the references therein.) We present some existence and uniqueness results for this type of equations on compact Riemannian manifolds with non‐negative sectional curvature. We have also generalized some results in [7].