Boundary behavior of solutions of Monge-Ampère equations with singular righthand sides

DOI10.1016/j.jmaa.2017.04.074zbMath1386.35128OpenAlexW2610848337MaRDI QIDQ2627951

Shanshan Ma, Dongsheng Li

Publication date: 9 June 2017

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.2017.04.074

zbMATH Keywords

Monge-Ampère equationboundary behavior

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Monge-Ampère equations (35J96)

Related Items (9)

Existence and uniqueness of nontrivial radial solutions for \(k\)-Hessian equations ⋮ Existence and boundary asymptotic behavior of strictly convex solutions for singular Monge-Ampère problems with gradient terms ⋮ 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 ⋮ Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation ⋮ Boundary blow-up solutions to the \(k\)-Hessian equation with singular weights ⋮ Boundary behavior of \(k\)-convex solutions for singular \(k\)-Hessian equations ⋮ Optimal global asymptotic behavior of the solution to a singular Monge-Ampère equation ⋮ Boundary blow-up solutions to the \(k\)-Hessian equation with the logarithmic nonlinearity and singular weights

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