Sobolev inequalities with variable exponent attaining the values 1 and n
Harjulehto, Petteri (University of Helsinki. Department of Mathematics and Statistics)
Hästö, Peter (University of Oulu. Department of Mathematical Sciences)

Date:	2008
Abstract:	We study Sobolev embeddings in the Sobolev space W1,p(·) (Ω) with variable exponent satisfying 1 6 p(x) 6 n. Since the exponent is allowed to reach the values 1 and n, we need to introduce new techniques, combining weak- and strong-type estimates, and a new variable exponent target space scale which features a space of exponential type integrability instead of L∞ at the upper end.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Variable exponent ; Sobolev space ; Sobolev inequality ; Limit case
Published in:	Publicacions matemàtiques, V. 52 n. 2 (2008) p. 347-363, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/113437
DOI: 10.5565/PUBLMAT_52208_05

17 p, 209.1 KB

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