Schauder theory in variable H\"older spaces
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keywords
spacesschaudervariableboundaryboundeddirichletdomainelliptic
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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.
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