Fully nonlinear operators with Hamiltonian: Hölder regularity of the gradient

DOI10.1007/s00030-016-0392-zzbMath1359.35077OpenAlexW2469341043MaRDI QIDQ503111

Isabeau Birindelli, Francoise Demengel

Publication date: 11 January 2017

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-016-0392-z

zbMATH Keywords

regularityviscosity solutionfully nonlinear equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items

Regularity under general and \(p,q\)-growth conditions ⋮ Global regularity for a class of fully nonlinear PDEs with unbalanced variable degeneracy ⋮ Existence and regularity results for some fully nonlinear singular or degenerate equation ⋮ Global \(W^{2, \delta}\) estimates for singular fully nonlinear elliptic equations with \(L^n\) right hand side terms ⋮ Boundary asymptotics of the ergodic functions associated with fully nonlinear operators through a Liouville type theorem ⋮ \({\mathcal{C}}^{1, \gamma }\) regularity for singular or degenerate fully nonlinear equations and applications ⋮ Sharp boundary and global regularity for degenerate fully nonlinear elliptic equations

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