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arXiv 2014-11-28 0 views

Schauder theory in variable Hölder spaces

Bies, Piotr Michał · Górka, Przemysław

Original · EN

We study elliptic equations on bounded domain of Euclidean spaces in the variable Hölder 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.

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