Functions with derivatives in spaces of Morrey type and elliptic equations in unbounded domains
Volume 128 / 1998
Studia Mathematica 128 (1998), 199-218
DOI: 10.4064/sm-128-3-199-218
Abstract
We introduce a sort of "local" Morrey spaces and show an existence and uniqueness theorem for the Dirichlet problem in unbounded domains for linear second order elliptic partial differential equations with principal coefficients "close" to functions having derivatives in such spaces.
