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Sobolev met Poincar�e / [electronic resource] Piotr Haj�asz, Pekka Koskela.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 688Publication details: Providence, R.I. : American Mathematical Society, c2000.Description: 1 online resource (ix, 101 p.)ISBN:
  • 9781470402792 (online)
Subject(s): Additional physical formats: Sobolev met Poincar�e /DDC classification:
  • 510 s 515/.782 21
LOC classification:
  • QA3.A57 no. 688 QA323
Online resources:
Contents:
1. Introduction 2. What are Poincar�e and Sobolev inequalities? 3. Poincar�e inequalities, pointwise estimates, and Sobolev classes 4. Examples and necessary conditions 5. Sobolev type inequalities by means of Riesz potentials 6. Trudinger inequality 7. A version of the Sobolev embedding theorem on spheres 8. Rellich-Kondrachov 9. Sobolev classes in John domains 10. Poincar�e inequality: examples 11. Carnot-Carath�eodory spaces 12. Graphs 13. Applications to P.D.E and nonlinear potential theory 14. Appendix
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK13141

"May 2000, volume 145, number 688 (first of 4 numbers)."

Includes bibliographical references (p. 89-101).

1. Introduction 2. What are Poincar�e and Sobolev inequalities? 3. Poincar�e inequalities, pointwise estimates, and Sobolev classes 4. Examples and necessary conditions 5. Sobolev type inequalities by means of Riesz potentials 6. Trudinger inequality 7. A version of the Sobolev embedding theorem on spheres 8. Rellich-Kondrachov 9. Sobolev classes in John domains 10. Poincar�e inequality: examples 11. Carnot-Carath�eodory spaces 12. Graphs 13. Applications to P.D.E and nonlinear potential theory 14. Appendix

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.

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The Institute of Mathematical Sciences, Chennai, India