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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 | ||
| ||
Blow-up theory for elliptic PDEs in Riemannian geometry [[electronic resource] /] / Olivier Druet, Emmanuel Hebey, Frédéric Robert
| Blow-up theory for elliptic PDEs in Riemannian geometry [[electronic resource] /] / Olivier Druet, Emmanuel Hebey, Frédéric Robert |
| Autore | Druet Olivier <1976-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2004 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 515/.353 |
| Altri autori (Persone) |
HebeyEmmanuel <1964->
RobertFrédéric <1974-> |
| Collana | Mathematical Notes |
| Soggetto topico |
Calculus of variations
Differential equations, Nonlinear Geometry, Riemannian |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-282-08723-1
1-282-93537-2 9786612935374 9786612087233 1-4008-2616-0 |
| Classificazione | 31.45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Background Material -- Chapter 2. The Model Equations -- Chapter 3. Blow-up Theory in Sobolev Spaces -- Chapter 4. Exhaustion and Weak Pointwise Estimates -- Chapter 5. Asymptotics When the Energy Is of Minimal Type -- Chapter 6. Asymptotics When the Energy Is Arbitrary -- Appendix A. The Green's Function on Compact Manifolds -- Appendix B. Coercivity Is a Necessary Condition -- Bibliography |
| Record Nr. | UNINA-9910454461003321 |
|
Druet Olivier <1976->
|
||
| Princeton, N.J., : Princeton University Press, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Blow-up theory for elliptic PDEs in Riemannian geometry [[electronic resource] /] / Olivier Druet, Emmanuel Hebey, Frédéric Robert
| Blow-up theory for elliptic PDEs in Riemannian geometry [[electronic resource] /] / Olivier Druet, Emmanuel Hebey, Frédéric Robert |
| Autore | Druet Olivier <1976-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2004 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 515/.353 |
| Altri autori (Persone) |
HebeyEmmanuel <1964->
RobertFrédéric <1974-> |
| Collana | Mathematical Notes |
| Soggetto topico |
Calculus of variations
Differential equations, Nonlinear Geometry, Riemannian |
| Soggetto non controllato |
Asymptotic analysis
Cayley–Hamilton theorem Contradiction Curvature Diffeomorphism Differentiable manifold Equation Estimation Euclidean space Laplace's equation Maximum principle Nonlinear system Polynomial Princeton University Press Result Ricci curvature Riemannian geometry Riemannian manifold Simply connected space Sphere theorem (3-manifolds) Stone's theorem Submanifold Subsequence Theorem Three-dimensional space (mathematics) Topology Unit sphere |
| ISBN |
1-282-08723-1
1-282-93537-2 9786612935374 9786612087233 1-4008-2616-0 |
| Classificazione | 31.45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Background Material -- Chapter 2. The Model Equations -- Chapter 3. Blow-up Theory in Sobolev Spaces -- Chapter 4. Exhaustion and Weak Pointwise Estimates -- Chapter 5. Asymptotics When the Energy Is of Minimal Type -- Chapter 6. Asymptotics When the Energy Is Arbitrary -- Appendix A. The Green's Function on Compact Manifolds -- Appendix B. Coercivity Is a Necessary Condition -- Bibliography |
| Record Nr. | UNINA-9910778097803321 |
|
Druet Olivier <1976->
|
||
| Princeton, N.J., : Princeton University Press, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Blow-up theory for elliptic PDEs in Riemannian geometry [[electronic resource] /] / Olivier Druet, Emmanuel Hebey, Frédéric Robert
| Blow-up theory for elliptic PDEs in Riemannian geometry [[electronic resource] /] / Olivier Druet, Emmanuel Hebey, Frédéric Robert |
| Autore | Druet Olivier <1976-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, c2004 |
| Descrizione fisica | 1 online resource (227 p.) |
| Disciplina | 515/.353 |
| Altri autori (Persone) |
HebeyEmmanuel <1964->
RobertFrédéric <1974-> |
| Collana | Mathematical Notes |
| Soggetto topico |
Calculus of variations
Differential equations, Nonlinear Geometry, Riemannian |
| Soggetto non controllato |
Asymptotic analysis
Cayley–Hamilton theorem Contradiction Curvature Diffeomorphism Differentiable manifold Equation Estimation Euclidean space Laplace's equation Maximum principle Nonlinear system Polynomial Princeton University Press Result Ricci curvature Riemannian geometry Riemannian manifold Simply connected space Sphere theorem (3-manifolds) Stone's theorem Submanifold Subsequence Theorem Three-dimensional space (mathematics) Topology Unit sphere |
| ISBN |
1-282-08723-1
1-282-93537-2 9786612935374 9786612087233 1-4008-2616-0 |
| Classificazione | 31.45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Chapter 1. Background Material -- Chapter 2. The Model Equations -- Chapter 3. Blow-up Theory in Sobolev Spaces -- Chapter 4. Exhaustion and Weak Pointwise Estimates -- Chapter 5. Asymptotics When the Energy Is of Minimal Type -- Chapter 6. Asymptotics When the Energy Is Arbitrary -- Appendix A. The Green's Function on Compact Manifolds -- Appendix B. Coercivity Is a Necessary Condition -- Bibliography |
| Record Nr. | UNINA-9910814688103321 |
|
Druet Olivier <1976->
|
||
| Princeton, N.J., : Princeton University Press, c2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei
| The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei |
| Autore | Druet Olivier <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Neumann problem
Differential equations, Elliptic Blowing up (Algebraic geometry) Convex domains |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-9016-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. L-bounded solutions""; ""Chapter 2. Smooth domains and extensions of solutions to elliptic equations""; ""Chapter 3. Exhaustion of the concentration points""; ""Chapter 4. A first upper-estimate""; ""Chapter 5. A sharp upper-estimate""; ""Chapter 6. Asymptotic estimates in C1()""; ""Chapter 7. Convergence to singular harmonic functions""; ""1. Convergence at general scale""; ""2. Convergence at appropriate scale""; ""Chapter 8. Estimates of the interior blow-up rates""; ""Chapter 9. Estimates of the boundary blow-up rates""
""Chapter 10. Proof of Theorems 1 and 2""""Appendix A. Construction and estimates on the Green's function""; ""Appendix B. Projection of the test functions""; ""Bibliography"" |
| Record Nr. | UNINA-9910480879903321 |
|
Druet Olivier <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei
| The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei |
| Autore | Druet Olivier <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Neumann problem
Differential equations, Elliptic Blowing up (Algebraic geometry) Convex domains |
| ISBN | 0-8218-9016-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. L-bounded solutions""; ""Chapter 2. Smooth domains and extensions of solutions to elliptic equations""; ""Chapter 3. Exhaustion of the concentration points""; ""Chapter 4. A first upper-estimate""; ""Chapter 5. A sharp upper-estimate""; ""Chapter 6. Asymptotic estimates in C1()""; ""Chapter 7. Convergence to singular harmonic functions""; ""1. Convergence at general scale""; ""2. Convergence at appropriate scale""; ""Chapter 8. Estimates of the interior blow-up rates""; ""Chapter 9. Estimates of the boundary blow-up rates""
""Chapter 10. Proof of Theorems 1 and 2""""Appendix A. Construction and estimates on the Green's function""; ""Appendix B. Projection of the test functions""; ""Bibliography"" |
| Record Nr. | UNINA-9910788618503321 |
|
Druet Olivier <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei
| The Lin-Ni's problem for mean convex domains / / Olivier Druet, Frédéric Robert, Juncheng Wei |
| Autore | Druet Olivier <1976-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| Descrizione fisica | 1 online resource (105 p.) |
| Disciplina | 515/.3533 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Neumann problem
Differential equations, Elliptic Blowing up (Algebraic geometry) Convex domains |
| ISBN | 0-8218-9016-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. L-bounded solutions""; ""Chapter 2. Smooth domains and extensions of solutions to elliptic equations""; ""Chapter 3. Exhaustion of the concentration points""; ""Chapter 4. A first upper-estimate""; ""Chapter 5. A sharp upper-estimate""; ""Chapter 6. Asymptotic estimates in C1()""; ""Chapter 7. Convergence to singular harmonic functions""; ""1. Convergence at general scale""; ""2. Convergence at appropriate scale""; ""Chapter 8. Estimates of the interior blow-up rates""; ""Chapter 9. Estimates of the boundary blow-up rates""
""Chapter 10. Proof of Theorems 1 and 2""""Appendix A. Construction and estimates on the Green's function""; ""Appendix B. Projection of the test functions""; ""Bibliography"" |
| Record Nr. | UNINA-9910818810403321 |
|
Druet Olivier <1976->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||