Skip Navigation

Bulletin of the London Mathematical Society 2005 37(1):119-125; doi:10.1112/S0024609304003819
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Bonder, J. F.
Right arrow Articles by Rossi, J. D.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© London Mathematical Society

On the Existence of Extremals for the Sobolev Trace Embedding Theorem with Critical Exponent

Julián Fernández Bonder and Julio D. Rossi

Departemento de Matemática, FCEyN UBA (1428) Buenos Aires, Argentina; jfbonder{at}dm.uba.ar
Departamento de Matemática, Universidad Católica de Chile Casilla 306, Correo 22, Santiago, Chile; jrossi{at}riemann.mat.puc.cl

Received 17 October 2003. Revision received 20 April 2004.

In this paper, the existence problem is studied for extremals of the Sobolev trace inequality W1,p({omega})->Lp*({partial}{Omega}), where {Omega} is a bounded smooth domain in RN, p*=p(N–1)/(N–p), is the critical Sobolev exponent, and 1 < p < N. 2000 Mathematics Subject Classification 35J65 (primary), 35B33 (secondary).

Supported by Fundacion Antorchas, CONICET, ANPCyT PICT Nos 05009 and 10608, and UBA X066.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.