Blow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimates

DOI10.1007/s00526-022-02315-3zbMath1500.35195OpenAlexW4296120152WikidataQ114228915 ScholiaQ114228915MaRDI QIDQ2079854

Xuemei Zhang, Mei-Qiang Feng

Publication date: 7 October 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-022-02315-3

zbMATH Keywords

Monge-Ampère equationboundary blow-up

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Monge-Ampère equations (35J96)

Related Items

Existence and boundary asymptotic behavior of strictly convex solutions for singular Monge-Ampère problems with gradient terms, Boundary blow-up solutions to singular \(k\)-Hessian equations with gradient terms: sufficient and necessary conditions and asymptotic behavior, Necessary and sufficient conditions for the existence of entire subsolutions to \(p\)-\(k\)-Hessian equations, The existence of infinitely many boundary blow-up solutions to the \(p\)-\(k\)-Hessian equation, Eigenvalue problems for singular \(p\)-Monge-Ampère equations, Sufficient and necessary conditions on the existence and estimates of boundary blow-up solutions for singular \(p\)-Laplacian equations, A class of singular \(k_{i}\)-Hessian systems, A class of singular coupled systems of superlinear Monge-Ampère equations, Necessary and sufficient conditions of entire subsolutions to Monge-Ampère type equations

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