Sobolev met Poincar�e / [electronic resource] Piotr Haj�asz, Pekka Koskela.
Material type: TextSeries: Memoirs of the American Mathematical Society ; v. 688Publication details: Providence, R.I. : American Mathematical Society, c2000Description: 1 online resource (ix, 101 p.)ISBN: 9781470402792 (online)Subject(s): Sobolev spaces | Inequalities (Mathematics)Additional physical formats: Sobolev met Poincar�e /DDC classification: 510 s | 515/.782 LOC classification: QA3.A57 no. 688 | QA323Online resources: Contents | ContentsCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | 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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