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Bourne Local
| Bourne Local |
| Pubbl/distr/stampa | Bourne, Lincs. (Newspaper House, 17 Abbey Rd, Bourne), : Local Publications |
| Formato | Materiale a stampa  |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti |
Local
The Local (Bourne) (UK) |
| Record Nr. | UNISA-996418033003316 |
| Bourne, Lincs. (Newspaper House, 17 Abbey Rd, Bourne), : Local Publications | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Local Lp-Brunn-Minkowski inequalities for p < 1 / / Alexander V. Kolesnikov, Emanuel Milman
| Local Lp-Brunn-Minkowski inequalities for p < 1 / / Alexander V. Kolesnikov, Emanuel Milman |
| Autore | Kolesnikov Alexander V |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2022 |
| Descrizione fisica | 1 online resource (90 pages) |
| Disciplina |
516/.08
516.08 |
| Altri autori (Persone) | MilmanEmanuel |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Convex domains
Lp spaces Minkowski geometry Inequalities (Mathematics) Convex and discrete geometry -- General convexity -- Inequalities and extremum problems Convex and discrete geometry -- General convexity -- Asymptotic theory of convex bodies Partial differential equations -- Spectral theory and eigenvalue problems -- Estimation of eigenvalues, upper and lower bounds Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Spectral problems; spectral geometry; scattering theory |
| ISBN |
9781470470920
1470470926 |
| Classificazione | 52A4052A2335P1558J50 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title page -- Chapter 1. Introduction -- 1.1. Previously Known Partial Results -- 1.2. Main Results -- 1.3. Spectral Interpretation via the Hilbert-Brunn-Minkowski operator -- 1.4. Method of Proof -- 1.5. Applications -- Chapter 2. Notation -- Chapter 3. Global vs. Local Formulations of the ^{ }-Brunn-Minkowski Conjecture -- 3.1. Standard Equivalent Global Formulations -- 3.2. Global vs. Local ^{ }-Brunn-Minkowski -- Chapter 4. Local ^{ }-Brunn-Minkowski Conjecture -Infinitesimal Formulation -- 4.1. Mixed Surface Area and Volume of ² functions -- 4.2. Properties of Mixed Surface Area and Volume -- 4.3. Second ^{ }-Minkowski Inequality -- 4.4. Comparison with classical =1 case -- 4.5. Infinitesimal Formulation On ⁿ⁻¹ -- 4.6. Infinitesimal Formulation On ∂ -- Chapter 5. Relation to Hilbert-Brunn-Minkowski Operator and Linear Equivariance -- 5.1. Hilbert-Brunn-Minkowski operator -- 5.2. Linear equivariance of the Hilbert-Brunn-Minkowski operator -- 5.3. Spectral Minimization Problem and Potential Extremizers -- Chapter 6. Obtaining Estimates via the Reilly Formula -- 6.1. A sufficient condition for confirming the local -BM inequality -- 6.2. General Estimate on \D( ) -- 6.3. Examples -- Chapter 7. The second Steklov operator and \B( ₂ⁿ) -- 7.1. Second Steklov operator -- 7.2. Computing \B( ₂ⁿ) -- Chapter 8. Unconditional Convex Bodies and the Cube -- 8.1. Unconditional Convex Bodies -- 8.2. The Cube -- Chapter 9. Local log-Brunn-Minkowski via the Reilly Formula -- 9.1. Sufficient condition for verifying local log-Brunn-Minkowski -- 9.2. An alternative derivation via estimating \B( ) -- Chapter 10. Continuity of \B, \BNH, \D with application to _{ }ⁿ -- 10.1. Continuity of \B, \BNH, \D in -topology -- 10.2. The Cube -- 10.3. Unit-balls of ℓ_{ }ⁿ -- Chapter 11. Local Uniqueness for Even ^{ }-Minkowski Problem.
Chapter 12. Stability Estimates for Brunn-Minkowski and Isoperimetric Inequalities -- 12.1. New stability estimates for origin-symmetric convex bodies with respect to variance -- 12.2. Improved stability estimates for all convex bodies with respect to asymmetry -- Bibliography -- Back Cover. |
| Altri titoli varianti | Local |
| Record Nr. | UNINA-9910966324603321 |
Kolesnikov Alexander V
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| Providence : , : American Mathematical Society, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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