Boundary behaviour of the complex Monge-Ampère equation

From MaRDI portal
Publication:1170437

DOI10.1007/BF02392727zbMath0496.35042OpenAlexW104894900MaRDI QIDQ1170437

John M. Lee, Richard B. Melrose

Publication date: 1982

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02392727




Related Items

Rigidity and gap theorems for Liouville's equationThe log term in the Bergman and Szegő kernels in strictly pseudoconvex domains in \(\mathbb C^2\)Yang–Mills fields on CR manifoldsOn the Dirichlet problem for the harmonic vector fields equationOn 3-dimensional CR manifolds and twistorsPlurisubharmonicity for the solution of the Fefferman equation and applications\(Q\)-prime curvature on CR manifoldsElliptic theory of differential edge operators IAsymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifoldsHolomorphic families of strongly pseudoconvex domains in a Kähler manifoldLarge solutions to the Monge-Ampère equations with nonlinear gradient terms: existence and boundary behaviorAnalytic continuation of weighted Bergman kernelsThe Loewner-Nirenberg problem in singular domainsKähler-Einstein metrics and obstruction flatness. II: Unit sphere bundlesBoundary behaviors for Liouville's equation in planar singular domainsAsymptotics of Kähler-Einstein metrics on complex hyperbolic cuspsBoundary regularity of minimal graphs in the hyperbolic spaceOn the asymptotic expansions of the proper harmonic maps between balls in Bergman metricsKähler-Einstein metrics and obstruction flatness of circle bundlesA nonlinear Poisson transform for Einstein metrics on product spacesSmooth solutions of degenerate Laplacians on strictly pseudoconvex domainsCharacteristic numbers of bounded domainsOptimal boundary regularity for nonlinear singular elliptic equationsRenormalized characteristic forms of the Cheng-Yau metric and global CR invariantsAn integral formula for the $Q$-prime curvature in 3-dimensional CR geometryBoundary behaviour of the Bergman invariant and related quantitiesAnalyse sur un demi-espace hyperbolique et poly-homogénéité localeOn the Szegő metricAsymptotics of ACH-Einstein metricsVersion réelle de la conjecture de RamadanovAn extension problem for the CR fractional LaplacianDeformation of Einstein metrics and 𝐿² cohomology on strictly pseudoconvex domainsResolvent of the Laplacian on strictly pseudoconvex domainsPolyhomogénéité des métriques asymptotiquement hyperboliques complexes le long du flot de RicciSelf-dual solutions to pseudo Yang-Mills equationsOn the scattering operators for ACHE metrics of Bergman type on strictly pseudoconvex domainsOn expansions of Ricci flat ALE metrics in harmonic coordinates about the infinityToeplitz operators and weighted Bergman kernelsCanonical almost complex structures on ACH Einstein manifoldsSemi-isometric CR immersions of CR manifolds into Kähler manifolds and applicationsKähler-Einstein metrics on strictly pseudoconvex domainsA Burns-Epstein invariant for ACHE 4-manifoldsPseudoharmonic maps and vector fields on \(CR\) manifoldsAsymptotics of complete Kähler metrics of finite volume on quasiprojective manifoldsThe Webster scalar curvature and sharp upper and lower bounds for the first positive eigenvalue of the Kohn-Laplacian on real hypersurfacesLocal boundary regularity of the canonical Einstein-Kähler metric on pseudoconvex domainsVariation of total Q-prime curvature on CR manifoldsEstimate of the Einstein-Kähler metric on a weakly pseudoconvex domain in \(\mathbb{C}^ 2\)Kähler-Einstein metrics with edge singularitiesOn the asymptotic expansion of complete Ricciflat Kähler metrics on quasi-projective manifoldsBoundary expansions of complete conformal metrics with negative Ricci curvaturesApproximately Einstein ACH metrics, volume renormalization, and an invariant for contact manifoldsObstruction flat rigidity of the CR 3-sphereSelf-dual Einstein ACH metrics and CR GJMS operators in dimension threeOptimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equationOn the Kähler-Einstein metric at strictly pseudoconvex pointsOptimal regularity of constant curvature graphs in hyperbolic spaceBounded strictly pseudoconvex domains in \(\mathbb{C}^2\) with obstruction flat boundary IIContact harmonic mapsA boundary expansion of solutions to nonlinear singular elliptic equationsBoundary expansions for constant mean curvature surfaces in the hyperbolic spaceUnnamed ItemOn boundary behaviour of symplectomorphismsCR invariants of weight five in the Bergman kernelCR-HARMONIC MAPSBoundary behavior of large solutions to the Monge-Ampère equations with weightsThe moduli space of asymptotically cylindrical Calabi-Yau manifoldsVariations of Kähler-Einstein metrics on strongly pseudoconvex domainsThe CR Ahlfors derivative and a new invariant for spherically equivalent CR maps



Cites Work


This page was built for publication: Boundary behaviour of the complex Monge-Ampère equation