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

El Baraka, Azzeddine; Masrour, Mohammed

doi:10.1515/mjpaa-2017-0013

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 l²,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.

References

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

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