Strictly convex solutions to the singular boundary blow-up Monge-Ampère problems: existence and asymptotic behavior

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Monge-Ampère equations (35J96)

Cites Work

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Monge-Ampère equation on exterior domains
The Monge-Ampère equation and its applications
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Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equation
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Boundary behavior of large solutions to the Monge-Ampère equations with weights
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The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
On the existence of a complete Kähler metric on non-compact complex manifolds and the regularity of fefferman's equation
Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
Regularly varying functions
The Bieberbach-Rademacher problem for the Monge-Ampère operator
Solutions with sign information for noncoercive double phase equations
Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system

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