The Monge-Ampère equation with infinite boundary value

From MaRDI portal
Publication:1764361

DOI10.2140/PJM.2004.216.77zbMath1126.35318OpenAlexW2058384360MaRDI QIDQ1764361

Bo Guan, Huai-Yu Jian

Publication date: 24 February 2005

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2004.216.77




Related Items (45)

Convex solutions of Monge-Ampère equations and systems: existence, uniqueness and asymptotic behaviorExact principal blowup rate near the boundary of boundary blowup solutions to \(k\)-curvature equationThe existence and blow-up of the radial solutions of a \((k_1, k_2)\)-Hessian system involving a nonlinear operator and gradientAsymptotic behaviour of Hessian equation with boundary blow upBoundary asymptotical behavior of large solutions to complex Hessian equationsLarge solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behaviorExistence and boundary asymptotic behavior of strictly convex solutions for singular Monge-Ampère problems with gradient termsThe optimal global estimates and boundary behavior for large solutions to the \(k\)-Hessian equationExistence of entire positive \(k\)-convex radial solutions to Hessian equations and systems with weightsHigher order estimate near the boundary of a large solution to semilinear Poisson equation with double-power like nonlinearityA unified boundary behavior of large solutions to Hessian equationsThe complex Hessian equation with infinite Dirichlet boundary valueExistence for translating solutions of Gauss curvature flow on exterior domainsThe existence of infinitely many boundary blow-up solutions to the \(p\)-\(k\)-Hessian equationEigenvalue problems for singular \(p\)-Monge-Ampère equationsA necessary and sufficient condition for the existence of entire large solutions to a \(k\)-Hessian systemThe iterative properties of solutions for a singular k-Hessian systemSolutions ofp-Laplace Equations with Infinite Boundary Values: The case of Non-Autonomous and Non-Monotone NonlinearitiesRadial solutions of a nonlinear \(k\)-Hessian system involving a nonlinear operatorOn the Monge-Ampère equation with boundary blow-up: existence, uniqueness and asymptoticsNew results of coupled system of \(k\)-Hessian equationsOn Monge-Ampère equations with nonlinear gradient terms -- infinite boundary value problemsBoundary blow-up solutions to the \(k\)-Hessian equation with a weakly superlinear nonlinearitySharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equationThe complex Monge-Ampère equation with infinite boundary valueA Schwarz lemma for Kähler affine metrics and the canonical potential of a proper convex coneOn boundary blow-up solutions to equations involving the \(\infty \)-LaplacianSolution to the boundary blowup problem for \(k\)-curvature equationSecond order boundary estimate of boundary blowup solutions to \(k\)-Hessian equationExistence and boundary asymptotic behavior of large solutions of Hessian equationsPrecise blowup rate near the boundary of boundary blowup solutions to \(k\)-Hessian equationBoundary blow-up solutions to the Monge-Ampère equation: sharp conditions and asymptotic behaviorOn a \(k\)-Hessian equation with a weakly superlinear nonlinearity and singular weightsUnnamed ItemEntire large solutions to the \(k\)-Hessian equations with weights: existence, uniqueness and asymptotic behaviorLarge solutions to complex Monge-Ampère equations: existence, uniqueness and asymptoticsOptimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equationBoundary behavior of large solutions to the Monge-Ampère equation in a borderline caseBoundary blow-up solutions to degenerate elliptic equations with non-monotone inhomogeneous termsSpacelike hypersurfaces of prescribed Gauss-Kronecker curvature in exterior domainsBlow-up solutions to the Monge-Ampère equation with a gradient term: sharp conditions for the existence and asymptotic estimatesEntire solutions to the Monge-Ampère equationOn the existence of solutions to the Monge-Ampère equation with infinite boundary valuesA class of singular coupled systems of superlinear Monge-Ampère equationsBoundary behavior of large solutions to the Monge-Ampère equations with weights







This page was built for publication: The Monge-Ampère equation with infinite boundary value