Optimal regularity for the convex envelope and semiconvex functions related to supersolutions of fully nonlinear elliptic equations
type: Item
instance of: scholarly article
title: Optimal regularity for the convex envelope and semiconvex functions related to supersolutions of fully nonlinear elliptic equations
author: J. Ederson M. Braga
author: Alessio Figalli
author: Diego R. Moreira
published in: Communications in Mathematical Physics
publication date: 2019-04-23T00:00:00Z
Mathematics Subject Classification ID: 47Hxx
Mathematics Subject Classification ID: 46Nxx
zbMATH DE Number: 7046610
MaRDI profile type: Publication
full work available at URL: s00220-019-03370-2
OpenAlex ID: W2925719728
cites work: On the singularities of convex functions
cites work: Convex viscosity solutions and state constraints
cites work: Inhomogeneous Hopf-Oleĭnik lemma and regularity of semiconvex supersolutions via new barriers for the Pucci extremal operators
cites work: Lasry-Lions regularization and a lemma of Ilmanen
cites work: On the alexandroff‐bakelman‐pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations
cites work: Interior a priori estimates for solutions of fully nonlinear equations
cites work: Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
cites work: Q4855688
cites work: The Dirichlet problem for the degenerate Monge-Ampère equation
cites work: The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
cites work: Semiconcave functions, Hamilton-Jacobi equations, and optimal control
cites work: Front propagation problems with nonlocal terms. II
cites work: On viscosity solutions of fully nonlinear equations with measurable ingredients
cites work: Q4364493
cites work: Second order stability for the Monge-Ampère equation and strong Sobolev convergence of optimal transport maps
cites work: Optimal regularity of the convex envelope
cites work: Q5178046
cites work: Optimal transportation on non-compact manifolds
cites work: Ilmanen's Lemma on insertion of \(C^{1,1}\) functions
cites work: The Monge-Ampère equation and its applications
cites work: Q4255465
cites work: The geometry of optimal transportation
cites work: An introduction to the regularity theory for elliptic systems, harmonic maps and minimal graphs
cites work: Elliptic partial differential equations of second order
cites work: Nonlinear elliptic equations of the second order
cites work: Q5322841
cites work: Q3151387
cites work: On the Smoothness of Convex Envelopes
cites work: The Monge-Ampère equation
cites work: Q3137117
cites work: Convexity of solutions and \(C^{1,1}\) estimates for fully nonlinear elliptic equations
cites work: Differentiability of convex envelopes
cites work: Weak Harnack inequality for fully nonlinear uniformly elliptic PDE with unbounded ingredients
cites work: Local maximum principle for \(L^p\)-viscosity solutions of fully nonlinear elliptic PDEs with unbounded coefficients
cites work: Harnack inequality for degenerate and singular elliptic equations with unbounded drift
cites work: The Dirichlet problem for the convex envelope
cites work: Q3062518
cites work: Boundary Harnack Estimates and Quantitative Strong Maximum Principles for Uniformly Elliptic PDE
cites work: Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations
Wikidata QID: Q128148696
DOI: 10.1007/S00220-019-03370-2
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description: scientific article; zbMATH DE number 7046610