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The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey
| The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey |
| Autore | Druet Olivier <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina |
510 s
514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Variational inequalities (Mathematics)
Riemannian manifolds |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0359-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""5.4. Extremal functions for the A�part of the AB program""""5.5. Critical functions versus best constants""; ""5.6. Low dimension""; ""5.7. The B�part of the AB program""; ""Chapter 6. PDE Methods""; ""6.1. Weak pointwise estimates""; ""6.2. Strong pointwise estimates""; ""6.3. Exact asymptotic profile""; ""Chapter 7. The isoperimetric inequality""; ""Chapter 8. The H[sup(p)][sub(1)]�inequalities, 1 < p < dimM""; ""8.1. Sharp inequalities with respect to the A�constant""; ""8.2. Geometric rigidity attached to the first constant""
""8.3. A scale in powers of sharp Sobolev inequalities""""8.4. Extremal functions for the A�part of the AB program""; ""8.5. Sharp inequalities with respect to the B�constant""; ""Bibliography"" |
| Record Nr. | UNINA-9910479935103321 |
Druet Olivier <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey
| The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey |
| Autore | Druet Olivier <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina |
510 s
514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Variational inequalities (Mathematics)
Riemannian manifolds |
| ISBN | 1-4704-0359-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""5.4. Extremal functions for the A�part of the AB program""""5.5. Critical functions versus best constants""; ""5.6. Low dimension""; ""5.7. The B�part of the AB program""; ""Chapter 6. PDE Methods""; ""6.1. Weak pointwise estimates""; ""6.2. Strong pointwise estimates""; ""6.3. Exact asymptotic profile""; ""Chapter 7. The isoperimetric inequality""; ""Chapter 8. The H[sup(p)][sub(1)]�inequalities, 1 < p < dimM""; ""8.1. Sharp inequalities with respect to the A�constant""; ""8.2. Geometric rigidity attached to the first constant""
""8.3. A scale in powers of sharp Sobolev inequalities""""8.4. Extremal functions for the A�part of the AB program""; ""8.5. Sharp inequalities with respect to the B�constant""; ""Bibliography"" |
| Record Nr. | UNINA-9910788848003321 |
|
Druet Olivier <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey
| The AB program in geometric analysis : sharp Sobolev inequalities and related problems / / Olivier Druet, Emmanuel Hebey |
| Autore | Druet Olivier <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2002] |
| Descrizione fisica | 1 online resource (113 p.) |
| Disciplina |
510 s
514/.74 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Variational inequalities (Mathematics)
Riemannian manifolds |
| ISBN | 1-4704-0359-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""5.4. Extremal functions for the A�part of the AB program""""5.5. Critical functions versus best constants""; ""5.6. Low dimension""; ""5.7. The B�part of the AB program""; ""Chapter 6. PDE Methods""; ""6.1. Weak pointwise estimates""; ""6.2. Strong pointwise estimates""; ""6.3. Exact asymptotic profile""; ""Chapter 7. The isoperimetric inequality""; ""Chapter 8. The H[sup(p)][sub(1)]�inequalities, 1 < p < dimM""; ""8.1. Sharp inequalities with respect to the A�constant""; ""8.2. Geometric rigidity attached to the first constant""
""8.3. A scale in powers of sharp Sobolev inequalities""""8.4. Extremal functions for the A�part of the AB program""; ""8.5. Sharp inequalities with respect to the B�constant""; ""Bibliography"" |
| Record Nr. | UNINA-9910818014103321 |
|
Druet Olivier <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2002] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang
| The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang |
| Autore | Lin Fanghua |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 514/.74 |
| Altri autori (Persone) | WangChangyou <1967-> |
| Soggetto topico |
Harmonic maps
Heat equation Riemannian manifolds |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-93808-4
9786611938086 981-277-953-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 3.2 Weakly harmonic maps in dimension two; 3.3 Stationary harmonic maps in higher dimensions; Preface; Organization of the book; Acknowledgements; 1 Introduction to harmonic maps; 1.1 Dirichlet principle of harmonic maps; 1.2 Intrinsic view of harmonic maps; 1.3 Extrinsic view of harmonic maps; 1.4 A few facts about harmonic maps; 1.5 Bochner identity for harmonic maps; 1.6 Second variational formula of harmonic maps; 2 Regularity of minimizing harmonic maps; 2.1 Minimizing harmonic maps in dimension two; 2.2 Minimizing harmonic maps in higher dimensions
2.3 Federer's dimension reduction principle2.4 Boundary regularity for minimizing harmonic maps; 2.5 Uniqueness of minimizing tangent maps; 2.6 Integrability of Jacobi fields and its applications; 3 Regularity of stationary harmonic maps; 3.1 Weakly harmonic maps into regular balls; 3.4 Stable-stationary harmonic maps into spheres; 4 Blow up analysis of stationary harmonic maps; 4.1 Preliminary analysis; 4.2 Rectifiability of defect measures; 4.3 Strong convergence and interior gradient estimates; 4.4 Boundary gradient estimates; 5 Heat ows to Riemannian manifolds of NPC; 5.1 Motivation 5.2 Existence of short time smooth solutions5.3 Existence of global smooth solutions under RN < 0; 5.4 An extension of Eells-Sampson's theorem; 6 Bubbling analysis in dimension two; 6.1 Minimal immersion of spheres; 6.2 Almost smooth heat ows in dimension two; 6.3 Finite time singularity in dimension two; 6.4 Bubbling phenomena for 2-D heat ows; 6.5 Approximate harmonic maps in dimension two; 7 Partially smooth heat ows; 7.1 Monotonicity formula and a priori estimates; 7.2 Global smooth solutions and weak compactness; 7.3 Finite time singularity in dimensions at least three 7.4 Nonuniqueness of heat flow of harmonic maps7.5 Global weak heat flows into spheres; 7.6 Global weak heat flows into general manifolds; 8 Blow up analysis on heat ows; 8.1 Obstruction to strong convergence; 8.2 Basic estimates; 8.3 Stratification of the concentration set; 8.4 Blow up analysis in dimension two; 8.5 Blow up analysis in dimensions n > 3; 9 Dynamics of defect measures in heat flows; 9.1 Generalized varifolds and rectifiability; 9.2 Generalized varifold flows and Brakke's motion; 9.3 Energy quantization of the defect measure; 9.4 Further remarks; Bibliography; Index |
| Record Nr. | UNINA-9910454064403321 |
|
Lin Fanghua
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang
| The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang |
| Autore | Lin Fanghua |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 514/.74 |
| Altri autori (Persone) | WangChangyou <1967-> |
| Soggetto topico |
Harmonic maps
Heat equation Riemannian manifolds |
| ISBN |
1-281-93808-4
9786611938086 981-277-953-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 3.2 Weakly harmonic maps in dimension two; 3.3 Stationary harmonic maps in higher dimensions; Preface; Organization of the book; Acknowledgements; 1 Introduction to harmonic maps; 1.1 Dirichlet principle of harmonic maps; 1.2 Intrinsic view of harmonic maps; 1.3 Extrinsic view of harmonic maps; 1.4 A few facts about harmonic maps; 1.5 Bochner identity for harmonic maps; 1.6 Second variational formula of harmonic maps; 2 Regularity of minimizing harmonic maps; 2.1 Minimizing harmonic maps in dimension two; 2.2 Minimizing harmonic maps in higher dimensions
2.3 Federer's dimension reduction principle2.4 Boundary regularity for minimizing harmonic maps; 2.5 Uniqueness of minimizing tangent maps; 2.6 Integrability of Jacobi fields and its applications; 3 Regularity of stationary harmonic maps; 3.1 Weakly harmonic maps into regular balls; 3.4 Stable-stationary harmonic maps into spheres; 4 Blow up analysis of stationary harmonic maps; 4.1 Preliminary analysis; 4.2 Rectifiability of defect measures; 4.3 Strong convergence and interior gradient estimates; 4.4 Boundary gradient estimates; 5 Heat ows to Riemannian manifolds of NPC; 5.1 Motivation 5.2 Existence of short time smooth solutions5.3 Existence of global smooth solutions under RN < 0; 5.4 An extension of Eells-Sampson's theorem; 6 Bubbling analysis in dimension two; 6.1 Minimal immersion of spheres; 6.2 Almost smooth heat ows in dimension two; 6.3 Finite time singularity in dimension two; 6.4 Bubbling phenomena for 2-D heat ows; 6.5 Approximate harmonic maps in dimension two; 7 Partially smooth heat ows; 7.1 Monotonicity formula and a priori estimates; 7.2 Global smooth solutions and weak compactness; 7.3 Finite time singularity in dimensions at least three 7.4 Nonuniqueness of heat flow of harmonic maps7.5 Global weak heat flows into spheres; 7.6 Global weak heat flows into general manifolds; 8 Blow up analysis on heat ows; 8.1 Obstruction to strong convergence; 8.2 Basic estimates; 8.3 Stratification of the concentration set; 8.4 Blow up analysis in dimension two; 8.5 Blow up analysis in dimensions n > 3; 9 Dynamics of defect measures in heat flows; 9.1 Generalized varifolds and rectifiability; 9.2 Generalized varifold flows and Brakke's motion; 9.3 Energy quantization of the defect measure; 9.4 Further remarks; Bibliography; Index |
| Record Nr. | UNINA-9910782558103321 |
|
Lin Fanghua
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang
| The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang |
| Autore | Lin Fanghua |
| Pubbl/distr/stampa | Hackensack, NJ, : World Scientific, c2008 |
| Descrizione fisica | 1 online resource (280 p.) |
| Disciplina | 514/.74 |
| Altri autori (Persone) | WangChangyou <1967-> |
| Soggetto topico |
Harmonic maps
Heat equation Riemannian manifolds |
| ISBN |
1-281-93808-4
9786611938086 981-277-953-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents; 3.2 Weakly harmonic maps in dimension two; 3.3 Stationary harmonic maps in higher dimensions; Preface; Organization of the book; Acknowledgements; 1 Introduction to harmonic maps; 1.1 Dirichlet principle of harmonic maps; 1.2 Intrinsic view of harmonic maps; 1.3 Extrinsic view of harmonic maps; 1.4 A few facts about harmonic maps; 1.5 Bochner identity for harmonic maps; 1.6 Second variational formula of harmonic maps; 2 Regularity of minimizing harmonic maps; 2.1 Minimizing harmonic maps in dimension two; 2.2 Minimizing harmonic maps in higher dimensions
2.3 Federer's dimension reduction principle2.4 Boundary regularity for minimizing harmonic maps; 2.5 Uniqueness of minimizing tangent maps; 2.6 Integrability of Jacobi fields and its applications; 3 Regularity of stationary harmonic maps; 3.1 Weakly harmonic maps into regular balls; 3.4 Stable-stationary harmonic maps into spheres; 4 Blow up analysis of stationary harmonic maps; 4.1 Preliminary analysis; 4.2 Rectifiability of defect measures; 4.3 Strong convergence and interior gradient estimates; 4.4 Boundary gradient estimates; 5 Heat ows to Riemannian manifolds of NPC; 5.1 Motivation 5.2 Existence of short time smooth solutions5.3 Existence of global smooth solutions under RN < 0; 5.4 An extension of Eells-Sampson's theorem; 6 Bubbling analysis in dimension two; 6.1 Minimal immersion of spheres; 6.2 Almost smooth heat ows in dimension two; 6.3 Finite time singularity in dimension two; 6.4 Bubbling phenomena for 2-D heat ows; 6.5 Approximate harmonic maps in dimension two; 7 Partially smooth heat ows; 7.1 Monotonicity formula and a priori estimates; 7.2 Global smooth solutions and weak compactness; 7.3 Finite time singularity in dimensions at least three 7.4 Nonuniqueness of heat flow of harmonic maps7.5 Global weak heat flows into spheres; 7.6 Global weak heat flows into general manifolds; 8 Blow up analysis on heat ows; 8.1 Obstruction to strong convergence; 8.2 Basic estimates; 8.3 Stratification of the concentration set; 8.4 Blow up analysis in dimension two; 8.5 Blow up analysis in dimensions n > 3; 9 Dynamics of defect measures in heat flows; 9.1 Generalized varifolds and rectifiability; 9.2 Generalized varifold flows and Brakke's motion; 9.3 Energy quantization of the defect measure; 9.4 Further remarks; Bibliography; Index |
| Record Nr. | UNINA-9910814555403321 |
|
Lin Fanghua
|
||
| Hackensack, NJ, : World Scientific, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Catastrophe theory / Domenico P.L. Castrigiano, Sandra A. Hayes
| Catastrophe theory / Domenico P.L. Castrigiano, Sandra A. Hayes |
| Autore | Castrigiano, Domenico P.L. |
| Pubbl/distr/stampa | Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, c1993 |
| Descrizione fisica | xv, 250 p. : ill. ; 24 cm |
| Disciplina | 514/.74 |
| Altri autori (Persone) | Hayes, Sandra A. |
| Soggetto topico | Catastrophes (Mathematics) |
| ISBN | 9780201555905 |
| Classificazione | LC QA614.58 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003792709707536 |
|
Castrigiano, Domenico P.L.
|
||
| Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, c1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Circle-valued Morse theory [[electronic resource] /] / Andrei V. Pajitnov
| Circle-valued Morse theory [[electronic resource] /] / Andrei V. Pajitnov |
| Autore | Pajitnov Andrei V |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2006 |
| Descrizione fisica | 1 online resource (464 pages) |
| Disciplina | 514/.74 |
| Collana | De Gruyter studies in mathematics |
| Soggetto topico |
Morse theory
Manifolds (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-19426-7
9786612194269 3-11-019797-9 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Introduction -- Part 1. Morse functions and vector fields on manifolds -- CHAPTER 1. Vector fields and C0 topology -- CHAPTER 2. Morse functions and their gradients -- CHAPTER 3. Gradient flows of real-valued Morse functions -- Part 2. Transversality, handles, Morse complexes -- CHAPTER 4. The Kupka-Smale transversality theory for gradient flows -- CHAPTER 5. Handles -- CHAPTER 6. The Morse complex of a Morse function -- Part 3. Cellular gradients -- CHAPTER 7. Condition (C) -- CHAPTER 8. Cellular gradients are C0-generic -- CHAPTER 9. Properties of cellular gradients -- Part 4. Circle-valued Morse maps and Novikov complexes -- CHAPTER 10. Completions of rings, modules and complexes -- CHAPTER 11. The Novikov complex of a circle-valued Morse map -- CHAPTER 12. Cellular gradients of circle-valued Morse functions and the Rationality Theorem -- CHAPTER 13. Counting closed orbits of the gradient flow -- CHAPTER 14. Selected topics in the Morse-Novikov theory -- Backmatter |
| Record Nr. | UNINA-9910454619003321 |
|
Pajitnov Andrei V
|
||
| Berlin ; ; New York, : De Gruyter, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Circle-valued Morse theory [[electronic resource] /] / Andrei V. Pajitnov
| Circle-valued Morse theory [[electronic resource] /] / Andrei V. Pajitnov |
| Autore | Pajitnov Andrei V |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2006 |
| Descrizione fisica | 1 online resource (464 pages) |
| Disciplina | 514/.74 |
| Collana | De Gruyter studies in mathematics |
| Soggetto topico |
Morse theory
Manifolds (Mathematics) |
| Soggetto non controllato |
Differential geometry
Morse theory |
| ISBN |
1-282-19426-7
9786612194269 3-11-019797-9 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Introduction -- Part 1. Morse functions and vector fields on manifolds -- CHAPTER 1. Vector fields and C0 topology -- CHAPTER 2. Morse functions and their gradients -- CHAPTER 3. Gradient flows of real-valued Morse functions -- Part 2. Transversality, handles, Morse complexes -- CHAPTER 4. The Kupka-Smale transversality theory for gradient flows -- CHAPTER 5. Handles -- CHAPTER 6. The Morse complex of a Morse function -- Part 3. Cellular gradients -- CHAPTER 7. Condition (C) -- CHAPTER 8. Cellular gradients are C0-generic -- CHAPTER 9. Properties of cellular gradients -- Part 4. Circle-valued Morse maps and Novikov complexes -- CHAPTER 10. Completions of rings, modules and complexes -- CHAPTER 11. The Novikov complex of a circle-valued Morse map -- CHAPTER 12. Cellular gradients of circle-valued Morse functions and the Rationality Theorem -- CHAPTER 13. Counting closed orbits of the gradient flow -- CHAPTER 14. Selected topics in the Morse-Novikov theory -- Backmatter |
| Record Nr. | UNINA-9910782523503321 |
|
Pajitnov Andrei V
|
||
| Berlin ; ; New York, : De Gruyter, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Circle-valued Morse theory [[electronic resource] /] / Andrei V. Pajitnov
| Circle-valued Morse theory [[electronic resource] /] / Andrei V. Pajitnov |
| Autore | Pajitnov Andrei V |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2006 |
| Descrizione fisica | 1 online resource (464 pages) |
| Disciplina | 514/.74 |
| Collana | De Gruyter studies in mathematics |
| Soggetto topico |
Morse theory
Manifolds (Mathematics) |
| Soggetto non controllato |
Differential geometry
Morse theory |
| ISBN |
1-282-19426-7
9786612194269 3-11-019797-9 |
| Classificazione | SK 350 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Introduction -- Part 1. Morse functions and vector fields on manifolds -- CHAPTER 1. Vector fields and C0 topology -- CHAPTER 2. Morse functions and their gradients -- CHAPTER 3. Gradient flows of real-valued Morse functions -- Part 2. Transversality, handles, Morse complexes -- CHAPTER 4. The Kupka-Smale transversality theory for gradient flows -- CHAPTER 5. Handles -- CHAPTER 6. The Morse complex of a Morse function -- Part 3. Cellular gradients -- CHAPTER 7. Condition (C) -- CHAPTER 8. Cellular gradients are C0-generic -- CHAPTER 9. Properties of cellular gradients -- Part 4. Circle-valued Morse maps and Novikov complexes -- CHAPTER 10. Completions of rings, modules and complexes -- CHAPTER 11. The Novikov complex of a circle-valued Morse map -- CHAPTER 12. Cellular gradients of circle-valued Morse functions and the Rationality Theorem -- CHAPTER 13. Counting closed orbits of the gradient flow -- CHAPTER 14. Selected topics in the Morse-Novikov theory -- Backmatter |
| Record Nr. | UNINA-9910825910603321 |
|
Pajitnov Andrei V
|
||
| Berlin ; ; New York, : De Gruyter, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
