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

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 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.

Keywords

• a-priori estimates
• degenerate elliptic equations
• besov-type spaces
• 35j15
• 35j25
• 35j70
• 35j75