Compactness of Orlicz-Sobolev space imbeddings for unbounded domains

In this thesis we are concerned with the compactness of im-beddings, for unbounded domains, of Orlicz-Sobolev spaces. Donaldson and Trudinger [6] have given a generalization of the Sobolev imbedding theorem and the Rellich-Kondrachov compactness theorem for Sobolev spaces to the case of Orlicz-Sobol...

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Bibliographic Details
Main Author: Cahill, Ian Graham
Language:English
Published: 2010
Online Access:http://hdl.handle.net/2429/19247