Home > Articles > Published articles > Sobolev inequalities with variable exponent attaining the values 1 and n |
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 |
17 p, 209.1 KB |