Schauder theory in variable H\"older spaces
  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. 
Piotr Micha{\l} Bies and Przemys{\l}aw G\'orka
math.AP