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UBC Theses and Dissertations
Compactness of Orlicz-Sobolev space imbeddings for unbounded domains Cahill, Ian Graham
Abstract
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-Sobolev spaces on bounded domains. Clark, Adams, and Fournier [1], [2], [3], and [5] have given extensions of the Sobolev compactness results to certain unbounded domains. In this thesis we consider similar extensions for Orlicz-Sobolev spaces.
Item Metadata
| Title |
Compactness of Orlicz-Sobolev space imbeddings for unbounded domains
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1975
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| Description |
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-Sobolev spaces on bounded domains. Clark, Adams, and Fournier [1], [2], [3], and [5] 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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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2010-01-28
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
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| DOI |
10.14288/1.0080117
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.