2009-03-01, English, Article, Journal or magazine article edition: A Sobolev-like inequality for the Dirac operator. Raulot, Simon

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2009 March 1
Language
  • English

Edition details

Title
  • A Sobolev-like inequality for the Dirac operator.
Appears In
  • Journal of Functional Analysis, v.256, no.5, 2009 March 1, p.1588(30) (ISSN: 0022-1236)
Author
  • Raulot, Simon
Published
  • Elsevier B.V., 2009 March 1
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.jfa.2008.11.007 Byline: Simon Raulot Keywords: Dirac operator; Sobolev inequality; Conformal geometry; Nonlinear elliptic equations Abstract: In this article, we prove a Sobolev-like inequality for the Dirac operator on closed compact Riemannian spin manifolds with a nearly optimal Sobolev constant. As an application, we give a criterion for the existence of solutions to a nonlinear equation with critical Sobolev exponent involving the Dirac operator. We finally specify a case where this equation can be solved. Author Affiliation: Universite de NeuchAcentstel, Institut de Mathematiques, Rue Emile-Argand 11, 2007 NeuchAcentstel, Switzerland Article History: Received 26 May 2008; Accepted 11 November 2008 Article Note: (miscellaneous) Communicated by Paul Malliavin
Terms of Use
  • COPYRIGHT 2009 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 192998236

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