UBC Theses and Dissertations
Compactness of Orlicz-Sobolev space imbeddings for unbounded domains Cahill, Ian Graham
In this thesis we are concerned with the compactness of im-beddings, for unbounded domains, of Orlicz-Sobolev spaces. Donaldson and Trudinger  have given a generalization of the Sobolev imbedding theorem and the Rellich-Kondrachov compactness theorem for Sobolev spaces to the case of Orlicz-Sobolev spaces on bounded domains. Clark, Adams, and Fournier , , , and  have given extensions of the Sobolev compactness results to certain unbounded domains. In this thesis we consider similar extensions for Orlicz-Sobolev spaces.
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