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

Author:

Hempel J. A.,Morris G. R.,Trudinger N. S.

Abstract

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

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference2 articles.

1. [1] Hempel J.A. , “Superlinear variational boundary value problems and non-uniqueness”, Doctoral thesis, University of New England, 1970.

2. On imbedding into Orlicz spaces and some applications;Trudinger;J. Math. Mech.,1967

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