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

Abstract

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