Schauder theory in variable H\"older spaces
Analysis of PDEs
2014-12-01 v1
Abstract
We study elliptic equations on bounded domain of Euclidean spaces in the variable H\"{o}lder spaces. Interior a priori Schauder estimates are given as well as global ones. Moreover, the existence and the uniqueness of solutions to the Dirichlet boundary value problem is proved.
Cite
@article{arxiv.1411.7862,
title = {Schauder theory in variable H\"older spaces},
author = {Piotr Michał Bies and Przemysław Górka},
journal= {arXiv preprint arXiv:1411.7862},
year = {2014}
}