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On the sharpness of a limiting case of the Sobolev imbedding theorem

Published online by Cambridge University Press:  17 April 2009

J. A. Hempel ,
G. R. Morris  and
N. S. Trudinger
J. A. Hempel
Affiliation:
University of New England, Armidale, New South Wales;
G. R. Morris
Affiliation:
University of New England, Armidale, New South Wales;
N. S. Trudinger
Affiliation:
University of Queensland, St Lucia, Queensland.
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Abstract

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A refinement of the Sobolev imbedding theorem, due to Trudinger, is shown to be optimal in a natural sense.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 3 , Issue 3 , December 1970 , pp. 369 - 373
Copyright
Copyright © Australian Mathematical Society 1970

References

[1]Hempel, J.A., “Superlinear variational boundary value problems and non-uniqueness”, Doctoral thesis, University of New England, 1970.Google Scholar
[2]Trudinger, N.S., “On imbedding into Orlicz spaces and some applications”, J. Math. Mech. 17 (1967), 473–484.Google Scholar