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Functions with derivatives in spaces of Morrey type and elliptic equations in unbounded domains

Anna Canale; Patrizia Di Gironimo; Antonio Vitolo — 1998

Studia Mathematica

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.

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