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math.AP2026
Schauder estimates for a class of fully nonlinear elliptic PDEs: a geometric tangential approach
Junior da Silva Bessa, João Vitor da Silva, Laura Ospina
In this paper, we establish local and global Schauder estimates for classical solutions of a class of fully nonlinear elliptic partial differential equations, which are not necessa…
math.AP2026
Schauder estimates for flat solutions to a class of fully nonlinear elliptic PDEs with Dini continuous data: a geometric tangential approach
Junior da Silva Bessa, João Vitor da Silva, Laura Ospina
In this manuscript, we establish local Schauder estimates for flat viscosity solutions, that is, solutions with sufficiently small norms, to a class of fully nonlinear elliptic par…