Amazon cover image
Image from Amazon.com

Some connections between isoperimetric and Sobolev-type inequalities / [electronic resource] Serguei G. Bobkov, Christian Houdré.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 616Publication details: Providence, R.I. : American Mathematical Society, c1997.Description: 1 online resource (viii, 111 p. : ill.)ISBN:
  • 9781470402013 (online)
Subject(s): Additional physical formats: Some connections between isoperimetric and Sobolev-type inequalities /DDC classification:
  • 813/.54 21
  • 510 s 515/.73 21
LOC classification:
  • QA3 .A57 no. 616 QA323
Online resources:
Contents:
1. Introduction 2. Differential and integral forms of isoperimetric inequalities 3. Proof of Theorem 1.1 4. A relation between the distribution of a function and its derivative 5. A variational problem 6. The discrete version of Theorem 5.1 7. Proof of Propositions 1.3 and 1.5 8. A special case of Theorem 1.2 9. The uniform distribution on the sphere 10. Existence of optimal Orlicz spaces 11. Proof of Theorem 1.9 (the case of the sphere) 12. Proof of Theorem 1.9 (the Gaussian case) 13. The isoperimetric problem on the real line 14. Isoperimetric and Sobolev-type inequalities on the real line 15. Extensions of Sobolev-type inequalities to product measures on $\mathbf {R}^n$
Holdings
Item type Current library Call number Status Date due Barcode Item holds
eBook eBook e-Library Available
Total holds: 0

"September 1997, volume 129, number 616 (end of volume)."

Includes bibliographical references (p. 109-111).

1. Introduction 2. Differential and integral forms of isoperimetric inequalities 3. Proof of Theorem 1.1 4. A relation between the distribution of a function and its derivative 5. A variational problem 6. The discrete version of Theorem 5.1 7. Proof of Propositions 1.3 and 1.5 8. A special case of Theorem 1.2 9. The uniform distribution on the sphere 10. Existence of optimal Orlicz spaces 11. Proof of Theorem 1.9 (the case of the sphere) 12. Proof of Theorem 1.9 (the Gaussian case) 13. The isoperimetric problem on the real line 14. Isoperimetric and Sobolev-type inequalities on the real line 15. Extensions of Sobolev-type inequalities to product measures on $\mathbf {R}^n$

Access is restricted to licensed institutions

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

Mode of access : World Wide Web

Description based on print version record.

Powered by Koha