In this paper we study a linear second order elliptic operator with discontinuous coefficients in unbounded domains. We prove existence and uniqueness results in weighted Sobolev spaces assuming that the leading coefficients converge at infinity and their derivatives belong to suitable Morrey spaces.

Existence and uniqueness results for elliptic equations with coefficients in locally Morrey spaces

DI GIRONIMO, Patrizia;VITOLO, Antonio
2003-01-01

Abstract

In this paper we study a linear second order elliptic operator with discontinuous coefficients in unbounded domains. We prove existence and uniqueness results in weighted Sobolev spaces assuming that the leading coefficients converge at infinity and their derivatives belong to suitable Morrey spaces.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/3137654
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