Optimal regularity for the convex envelope and semiconvex functions related to supersolutions of fully nonlinear elliptic equations

DOI10.1007/s00220-019-03370-2OpenAlexW2925719728WikidataQ128148696 ScholiaQ128148696MaRDI QIDQ1737552

J. Ederson M. Braga, Alessio Figalli, Diego R. Moreira

Publication date: 23 April 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-019-03370-2

Mathematics Subject Classification ID

Nonlinear operators and their properties (47Hxx) Miscellaneous applications of functional analysis (46Nxx)

Related Items

Zero Lebesgue measure sets as removable sets for degenerate fully nonlinear elliptic PDEs, High-order estimates for fully nonlinear equations under weak concavity assumptions, Interior a priori estimates for supersolutions of fully nonlinear subelliptic equations under geometric conditions, A note on Lusin's condition (N) for W_loc^1,n-mappings with convex potentials, Krylov's Boundary Gradient Type Estimates for Solutions to Fully Nonlinear Differential Inequalities with Quadratic Growth on the Gradient, Inhomogeneous Hopf-Oleĭnik lemma and regularity of semiconvex supersolutions via new barriers for the Pucci extremal operators, Pointwise properties of \(L^p\)-viscosity solutions of uniformly elliptic equations with quadratically growing gradient terms, Aleksandrov-Bakelman-Pucci maximum principle for \(L^p\)-viscosity solutions of equations with unbounded terms, Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations

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