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In this paper, we give a priori estimates near the boundary for solutions of a degenerate elliptic problems in the general Besov-type spaces Bp,qs,τ $B_{p,q}^{s,\tau }$ , containing as special cases: Goldberg space bmo, local Morrey-Campanato spaces l2,λ and the classical Hölder and Besov spaces Bp,qs $B_{p,q}^s $ . This work extends the results of [13, 2, 15] from Hölder and Besov spaces to the general frame of Bp,qs,τ $B_{p,q}^{s,\tau }$ spaces.

A-priori Estimates Near the Boundary for Solutions of a class of Degenerate Elliptic Problems in Besov-type Spaces