ABP and global Holder estimates for fully nonlinear elliptic equations in unbounded domains

2014/07/26 by Birindelli, Isabeau, Dolcetta, Italo Capuzzo, Vitolo, Antonio
#35B65 #35J57 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1407.7116

Abstract

We prove global Holder estimates for solution of fully nonlinear elliptic or degenerate elliptic equations in unbounded domains under geometric conditions on the domain a' la Cabre'.

Related

• Pointwise boundary estimates for fully nonlinear elliptic equations with nonzero Dirichlet boundary conditions
• Global Hölder solvability of second order elliptic equations with locally integrable lower-order coefficients
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• Schauder-type estimates for fully nonlinear degenerate elliptic equations