A maximum rank problem for degenerate elliptic fully nonlinear equations
Guan, Pengfei · Phong, D. H.
Original · EN
The solutions to the Dirichlet problem for two degenerate elliptic fully nonlinear equations in n+1 dimensions, namely the real Monge-Ampère equation and the Donaldson equation, are shown to have maximum rank in the space variables when n ≤ 2. A constant rank property is also established for the Donaldson equation when n=3.
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