Existence and estimates of solutions to a singular Dirichlet problem for the Monge-Ampère equation
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Publication:2470512
DOI10.1016/J.JMAA.2007.09.014zbMath1260.35071OpenAlexW2144372023MaRDI QIDQ2470512
Publication date: 14 February 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.09.014
Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Monge-Ampère equations (35J96)
Related Items (25)
Boundary behavior of solutions of Monge-Ampère equations with singular righthand sides ⋮ Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ Analysis of nontrivial radial solutions for singular superlinear \(k\)-Hessian equations ⋮ Existence and boundary asymptotic behavior of strictly convex solutions for singular Monge-Ampère problems with gradient terms ⋮ Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator ⋮ A necessary and sufficient condition for the existence of entire large solutions to a \(k\)-Hessian system ⋮ The iterative properties of solutions for a singular k-Hessian system ⋮ Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator ⋮ Strictly convex solutions for singular Monge-Ampère equations with nonlinear gradient terms: existence and boundary asymptotic behavior ⋮ Existence and boundary behavior of solutions of Hessian equations with singular right-hand sides ⋮ Existence of the global solution for the parabolic Monge-Ampère equations on compact Riemannian manifolds ⋮ Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation ⋮ Refined boundary behavior of the unique convex solution to a singular Dirichlet problem for the Monge-Ampère equation ⋮ Boundary blow-up solutions to the \(k\)-Hessian equation with a weakly superlinear nonlinearity ⋮ Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation ⋮ Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights ⋮ Boundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behavior ⋮ On a \(k\)-Hessian equation with a weakly superlinear nonlinearity and singular weights ⋮ Unnamed Item ⋮ Optimal global asymptotic behavior of the solution to a singular Monge-Ampère equation ⋮ Positive solutions of two-point boundary value problems for Monge-Ampère equations ⋮ Entire large solutions to the \(k\)-Hessian equations with weights: existence, uniqueness and asymptotic behavior ⋮ Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equation ⋮ The existence and asymptotic behavior of boundary blow-up solutions to the \(k\)-Hessian equation ⋮ Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates
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