On the blow-up boundary solutions of the Monge-Ampére equation with singular weights
From MaRDI portal
Publication:1947884
DOI10.3934/cpaa.2012.11.697zbMath1266.35018OpenAlexW1997639656MaRDI QIDQ1947884
Publication date: 29 April 2013
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2012.11.697
Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Blow-up in context of PDEs (35B44)
Related Items (32)
Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behavior ⋮ Exact principal blowup rate near the boundary of boundary blowup solutions to \(k\)-curvature equation ⋮ The existence and blow-up of the radial solutions of a \((k_1, k_2)\)-Hessian system involving a nonlinear operator and gradient ⋮ Non-degeneracy and uniqueness of the radial solutions to a coupled \(k\)-Hessian system ⋮ Large solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behavior ⋮ Boundary blow-up solutions to singular \(k\)-Hessian equations with gradient terms: sufficient and necessary conditions and asymptotic behavior ⋮ The optimal global estimates and boundary behavior for large solutions to the \(k\)-Hessian equation ⋮ Higher order estimate near the boundary of a large solution to semilinear Poisson equation with double-power like nonlinearity ⋮ A unified boundary behavior of large solutions to 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 ⋮ Radial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operator ⋮ Refined second boundary behavior of the unique strictly convex solution to a singular Monge-Ampère equation ⋮ New results of coupled system of \(k\)-Hessian equations ⋮ On Monge-Ampère equations with nonlinear gradient terms -- infinite boundary value problems ⋮ 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 ⋮ Second order boundary estimate of boundary blowup solutions to \(k\)-Hessian equation ⋮ On a singular \(k\)-Hessian equation ⋮ Precise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian 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 ⋮ 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 ⋮ Boundary behavior of large solutions to the Monge-Ampère equation in a borderline case ⋮ 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 ⋮ A class of singular coupled systems of superlinear Monge-Ampère equations ⋮ Boundary behavior of large solutions to the Monge-Ampère equations with weights
This page was built for publication: On the blow-up boundary solutions of the Monge-Ampére equation with singular weights