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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

Sobolev imbedding theorems in borderline cases

Author(s): Nicola Fusco; Pierre Louis Lions; Carlo Sbordone
Journal: Proc. Amer. Math. Soc. 124 (1996), 561-565.
MSC (1991): Primary 46E35
MathSciNet review: 1301025
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Abstract | References | Similar articles | Additional information

Abstract: An imbedding theorem is given for functions whose gradient belongs to a class slightly larger than $L^n(\Omega)$, $\Omega\subset \mathbb{R}^n$.


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Additional Information:

Nicola Fusco
Affiliation: Dipartimento di Matematica e Applicazioni, Università di Napoli, via Cintia, 80126 Napoli, Italy

Pierre Louis Lions
Affiliation: CEREMADE, Place du Marèchal de Lattre de Tassigny, 75775 Paris Cedex 16, France

Carlo Sbordone
Affiliation: Dipartimento di Matematica e Applicazioni, Università di Napoli, via Cintia, 80126 Napoli, Italy

DOI: 10.1090/S0002-9939-96-03136-X
PII: S 0002-9939(96)03136-X
Received by editor(s): July 7, 1993
Received by editor(s) in revised form: September 12, 1994
Communicated by: Barbara Lee Keyfitz
Copyright of article: Copyright 1996, American Mathematical Society




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