Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
The Monge-Ampère equation - MaRDI portal

The Monge-Ampère equation

From MaRDI portal
Publication:5895154

DOI10.1007/978-3-319-43374-5zbMath1356.35004OpenAlexW4245921625MaRDI QIDQ5895154

Cristian E. Gutiérrez

Publication date: 8 August 2016

Published in: Progress in Nonlinear Differential Equations and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-43374-5




Related Items (44)

Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equationThe Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measuresMonotone discretization of the Monge–Ampère equation of optimal transportTransport distances for PDEs: the coupling methodOptimal Pointwise Error Estimates for Two-Scale Methods for the Monge--Ampère EquationRegularity of optimal transport between planar convex domainsSelfsimilar Hessian manifoldsSelf-similar Hessian and conformally Kähler manifoldsExtremal metrics on toric manifolds and homogeneous toric bundlesTwisted Harnack inequality and approximation of variational problems with a convexity constraint by singular Abreu equationsQuadratic finite element approximations of the Monge-Ampère equationRemarks on sharp boundary estimates for singular and degenerate Monge-Ampère equationsVery weak solutions of the Dirichlet problem for the two dimensional Monge-Ampère equationOn the geometry of steady toric Kähler-Ricci solitonsTHE GROWTH OF SOLUTIONS OF MONGE–AMPÈRE EQUATIONS IN HALF SPACES AND ITS APPLICATIONKähler–Ricci flow on homogeneous toric bundlesStability and guaranteed error control of approximations to the Monge-Ampère equationHarnack’s inequality for a class of non-divergent equations in the Heisenberg groupA generalised comparison principle for the Monge-Ampère equation and the pressure in 2D fluid flowsGASPARD MONGE (1746-1818): APPLICATION OF GEOMETRY TO ANALYSISInverse iteration for the Monge–Ampère eigenvalue problemEquivariant endomorphisms of convex functionsAnalysis of Galerkin methods for the fully nonlinear Monge-Ampère equationConvergence Rate Estimates for Aleksandrov's Solution to the Monge--Ampère EquationFully nonlinear integro-differential equations with deforming kernelsInterior estimates for Monge-Ampère equation in terms of modulus of continuityA \(L_p\) Brunn-Minkowski theory for logarithmic capacityFreeform lens design for scattering data with general radiant fieldsGlobal \(W^{2,1+\varepsilon}\) estimates for Monge-Ampère equation with natural boundary conditionAbstract approach to non homogeneous Harnack inequality in doubling quasi metric spacesMorrey inequalities in the Monge-Ampère quasi-metric structureOn radial solutions for Monge–Ampère equationsApproximation of variational problems with a convexity constraint by PDEs of Abreu typeInhomogeneous Hopf-Oleĭnik lemma and regularity of semiconvex supersolutions via new barriers for the Pucci extremal operatorsAn interior a priori estimate for solutions to Monge-Ampère equations with right-hand side close to a positive constantInterior \(C^{1,\alpha}\) regularity for the linearized Monge-Ampère equation with VMO type coefficientsGeneral Schwarz Lemmata and their applicationsSobolev regularity for the Monge-Ampère equation, with application to the semigeostrophic equationsThe \(L_p\) Minkowski problem for torsionConvergence of the random abelian sandpileThe Lp Minkowski problem for q-capacityA spectral characterization and an approximation scheme for the Hessian eigenvalueTwo-scale methods for convex envelopesGlobal C2,α estimates for the Monge-Ampère equation on polygonal domains in the plane




This page was built for publication: The Monge-Ampère equation