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- W2755404234 abstract "In this paper, we obtain conditions about the existence and boundary behavior of (strictly) convex solutions to the Monge–Ampère equations with boundary blow-updetD2u(x)=b(x)f(u(x))±|∇u|q,x∈Ω,u|∂Ω=+∞, anddetD2u(x)=b(x)f(u(x))(1+|∇u|q),x∈Ω,u|∂Ω=+∞, where Ω is a strictly convex, bounded smooth domain in RN with N≥2, q∈[0,N] (or q∈[0,N)), b∈C∞(Ω) which is positive in Ω, but may vanish or blow up on the boundary, f∈C[0,∞), f(0)=0, and f is strictly increasing on [0,∞) (or f∈C(R), f(s)>0,∀s∈R, and f is strictly increasing on R)." @default.
- W2755404234 created "2017-09-25" @default.
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- W2755404234 date "2018-01-01" @default.
- W2755404234 modified "2023-10-01" @default.
- W2755404234 title "Large solutions to the Monge–Ampère equations with nonlinear gradient terms: Existence and boundary behavior" @default.
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- W2755404234 doi "https://doi.org/10.1016/j.jde.2017.09.010" @default.
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