Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-27T00:00:02.340Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE EXISTENCE OF EXTREMALS FOR THE SOBOLEV TRACE EMBEDDING THEOREM WITH CRITICAL EXPONENT

Published online by Cambridge University Press:  08 February 2005

JULIÁN FERNÁNDEZ BONDER  and
JULIO D. ROSSI
JULIÁN FERNÁNDEZ BONDER
Affiliation:
Departemento de Matemática, FCEyN, UBA (1428) Buenos Aires, [email protected]
JULIO D. ROSSI
Affiliation:
Departamento de Matemática, Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, [email protected]
Get access

Abstract

In this paper, the existence problem is studied for extremals of the Sobolev trace inequality $W^{1,p}(\Omega)\to L^{p_*}(\partial\Omega)$, where $\Omega$ is a bounded smooth domain in $\RR^N$, $p_*=p(N-1)/(N-p)$ is the critical Sobolev exponent, and $1<p<N$.

Keywords

35J65 (primary)35B33 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 1 , January 2005 , pp. 119 - 125
Copyright
© The London Mathematical Society 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

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