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Explicit determination of area minimizing hypersurfaces, II / / Harold R. Parks
| Explicit determination of area minimizing hypersurfaces, II / / Harold R. Parks |
| Autore | Parks Harold R. <1949-> |
| Pubbl/distr/stampa | Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina | 515.4/2 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Geometric measure theory
Hypersurfaces |
| ISBN | 1-4704-0758-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ""TABLE OF CONTENTS""; ""1. INTRODUCTION""; ""2. NOTATION""; ""3. THE METHOD""; ""4. INTERIOR TOPOLOGY""; ""5. ADAPTATION OF SCHOEN AND SIMON'S RESULTS""; ""6. BEHAVIOR NEAR A CORNER""; ""7. RESULTS WHEN THE BOUNDARY IS AN EXTREME POLYGON""; ""REFERENCES"" |
| Record Nr. | UNINA-9910828755903321 |
Parks Harold R. <1949->
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| Providence, Rhode Island, United States : , : American Mathematical Society, , 1986 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Gaussian capacity analysis [e-book] / Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan
| Gaussian capacity analysis [e-book] / Liguang Liu, Jie Xiao, Dachun Yang, Wen Yuan |
| Autore | Liu, Liguang |
| Descrizione fisica | 1 online resource |
| Altri autori (Persone) |
Xiao, Jieauthor
Yang, Dachunauthor Yuan, Wen |
| Collana | Lecture notes in mathematics, 0075-8434 ; 2225 |
| Soggetto topico |
Differential equations, Elliptic
Functional analysis Gaussian distribution Geometric measure theory Potential theory |
| ISBN |
9783319950402
3319950398 9783319950396 |
| Classificazione | AMS 31B15 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Gaussian Sobolev p-space ; Gaussian Campanato (p, k)-class ; Gaussian p-capacity ; Restriction of Gaussian Sobolev p-space ; Gaussian 1-capacity to Gaussian -capacity ; Gaussian BV-capacity |
| Record Nr. | UNISALENTO-991003632509707536 |
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Liu, Liguang
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| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Geometric integration theory / Hassler Whitney
| Geometric integration theory / Hassler Whitney |
| Autore | Whitney, Hassler |
| Pubbl/distr/stampa | Princeton : Princeton Univ. Press, 1957 |
| Descrizione fisica | xv, 387 p. ; 24 cm |
| Disciplina | 515.42 |
| Collana | Princeton mathematical series, 0079-5194 ; 21 |
| Soggetto topico |
Area
Geometric measure theory Length |
| Classificazione | AMS 28A75 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000940279707536 |
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Whitney, Hassler
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| Princeton : Princeton Univ. Press, 1957 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Geometric measure theory / Herbert Federer
| Geometric measure theory / Herbert Federer |
| Autore | Federer, Herbert |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1969 |
| Descrizione fisica | 676 p. ; 24 cm |
| Disciplina | 515.42 |
| Collana | Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete ; 153 |
| Soggetto topico | Geometric measure theory |
| Classificazione |
AMS 28A
AMS 28A75 LC QA312.M67 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000940659707536 |
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Federer, Herbert
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| Berlin : Springer-Verlag, 1969 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Geometric measure theory : a beginner's guide / / Frank Morgan ; illustrated by James F. Bredt
| Geometric measure theory : a beginner's guide / / Frank Morgan ; illustrated by James F. Bredt |
| Autore | Morgan Frank |
| Edizione | [5th ed.] |
| Pubbl/distr/stampa | Amsterdam, [Netherlands] : , : Academic Press, , 2016 |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 515.42 |
| Soggetto topico | Geometric measure theory |
| ISBN | 0-12-804527-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover ; Dedication ; Geometric Measure Theory: A Beginner's Guide ; Copyright ; Contents; Preface; Part I: Basic Theory; Chapter 1: Geometric Measure Theory ; 1.1 Archetypical Problem; 1.2 Surfaces as Mappings; 1.3 The Direct Method; 1.4 Rectifiable Currents; 1.5 The Compactness Theorem; 1.6 Advantages of Rectifiable Currents; 1.7 The Regularity of Area-Minimizing Rectifiable Currents ; 1.8 More General Ambient Spaces; Chapter 2: Measures ; 2.1 Definitions; 2.2 Lebesgue Measure; 2.3 Hausdorff Measure ; 2.4 Integral-Geometric Measure; 2.5 Densities ; 2.6 Approximate Limits
2.7 Besicovitch Covering Theorem 2.8 Corollary; 2.9 Corollary; 2.10 Corollary; Exercises; Chapter 3: Lipschitz Functions and Rectifiable Sets ; 3.1 Lipschitz Functions; 3.2 Rademacher's Theorem ; 3.3 Approximation of a Lipschitz Function by a C1 Funcation ; 3.4 Lemma (Whitney's Extension Theorem) ; 3.5 Proposition ; 3.6 Jacobians; 3.7 The Area Formula ; 3.8 The Coarea Formula ; 3.9 Tangent Cones; 3.10 Rectifiable Sets ; 3.11 Proposition ; 3.12 Proposition ; 3.13 General Area-Coarea Formula ; 3.14 Product of Measures ; 3.15 Orientation; 3.16 Crofton's Formula ; 3.17 Structure Theorem ExercisesChapter 4: Normal and Rectifiable Currents ; 4.1 Vectors and Differential Forms ; 4.2 Currents ; 4.3 Important Spaces of Currents ; 4.3A Mapping Currents; 4.3B Currents Representable by Integration; 4.4 Theorem ; 4.5 Normal Currents ; 4.6 Proposition ; 4.7 Theorem ; 4.8 Theorem ; 4.9 Constancy Theorem ; 4.10 Cartesian Products; 4.11 Slicing ; 4.12 Lemma ; 4.13 Proposition ; Exercises; Chapter 5: The Compactness Theorem and the Existence of Area-Minimizing Surfaces ; 5.1 The Deformation Theorem ; 5.2 Corollary; 5.3 The Isoperimetric Inequality ; 5.4 The Closure Theorem 5.5 The Compactness Theorem 5.6 The Existence of Area-Minimizing Surfaces; 5.7 The Existence of Absolutely and Homologically Minimizing Surfaces in Manifolds ; Exercises; Chapter 6: Examples of Area-Minimizing Surfaces ; 6.1 The Minimal Surface Equation ; 6.2 Remarks on Higher Dimensions; 6.3 Complex Analytic Varieties ; 6.4 Fundamental Theorem of Calibrations; 6.5 History of Calibrations ; Exercises; Chapter 7: The Approximation Theorem ; 7.1 The Approximation Theorem ; Chapter 8: Survey of Regularity Results ; 8.1 Theorem ; 8.2 Theorem ; 8.3 Theorem ; 8.4 Boundary Regularity 8.5 General Ambients, Volume Constraints, and Other IntegrandsExercises; Chapter 9: Monotonicity and Oriented Tangent Cones ; 9.1 Locally Integral Flat Chains ; 9.2 Monotonicity of the Mass Ratio; 9.3 Theorem ; 9.4 Corollary; 9.5 Corollary; 9.6 Corollary; 9.7 Oriented Tangent Cones ; 9.8 Theorem ; 9.9 Theorem; Exercises; Chapter 10: The Regularity of Area-Minimizing Hypersurfaces ; 10.1 Theorem; 10.2 Regularity for Area-Minimizing Hypersurfaces Theorem ; 10.3 Lemma ; 10.4 Maximum Principle; 10.5 Simons's Lemma ; 10.6 Lemma ; 10.7 Remarks; Exercises Chapter 11: Flat Chains Modulo ν, Varifolds, and (M, ε, δ)-Minimal Sets |
| Record Nr. | UNINA-9910798386303321 |
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Morgan Frank
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| Amsterdam, [Netherlands] : , : Academic Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric measure theory : a beginner's guide / / Frank Morgan ; illustrated by James F. Bredt
| Geometric measure theory : a beginner's guide / / Frank Morgan ; illustrated by James F. Bredt |
| Autore | Morgan Frank |
| Edizione | [5th ed.] |
| Pubbl/distr/stampa | Amsterdam, [Netherlands] : , : Academic Press, , 2016 |
| Descrizione fisica | 1 online resource (274 p.) |
| Disciplina | 515.42 |
| Soggetto topico | Geometric measure theory |
| ISBN | 0-12-804527-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover ; Dedication ; Geometric Measure Theory: A Beginner's Guide ; Copyright ; Contents; Preface; Part I: Basic Theory; Chapter 1: Geometric Measure Theory ; 1.1 Archetypical Problem; 1.2 Surfaces as Mappings; 1.3 The Direct Method; 1.4 Rectifiable Currents; 1.5 The Compactness Theorem; 1.6 Advantages of Rectifiable Currents; 1.7 The Regularity of Area-Minimizing Rectifiable Currents ; 1.8 More General Ambient Spaces; Chapter 2: Measures ; 2.1 Definitions; 2.2 Lebesgue Measure; 2.3 Hausdorff Measure ; 2.4 Integral-Geometric Measure; 2.5 Densities ; 2.6 Approximate Limits
2.7 Besicovitch Covering Theorem 2.8 Corollary; 2.9 Corollary; 2.10 Corollary; Exercises; Chapter 3: Lipschitz Functions and Rectifiable Sets ; 3.1 Lipschitz Functions; 3.2 Rademacher's Theorem ; 3.3 Approximation of a Lipschitz Function by a C1 Funcation ; 3.4 Lemma (Whitney's Extension Theorem) ; 3.5 Proposition ; 3.6 Jacobians; 3.7 The Area Formula ; 3.8 The Coarea Formula ; 3.9 Tangent Cones; 3.10 Rectifiable Sets ; 3.11 Proposition ; 3.12 Proposition ; 3.13 General Area-Coarea Formula ; 3.14 Product of Measures ; 3.15 Orientation; 3.16 Crofton's Formula ; 3.17 Structure Theorem ExercisesChapter 4: Normal and Rectifiable Currents ; 4.1 Vectors and Differential Forms ; 4.2 Currents ; 4.3 Important Spaces of Currents ; 4.3A Mapping Currents; 4.3B Currents Representable by Integration; 4.4 Theorem ; 4.5 Normal Currents ; 4.6 Proposition ; 4.7 Theorem ; 4.8 Theorem ; 4.9 Constancy Theorem ; 4.10 Cartesian Products; 4.11 Slicing ; 4.12 Lemma ; 4.13 Proposition ; Exercises; Chapter 5: The Compactness Theorem and the Existence of Area-Minimizing Surfaces ; 5.1 The Deformation Theorem ; 5.2 Corollary; 5.3 The Isoperimetric Inequality ; 5.4 The Closure Theorem 5.5 The Compactness Theorem 5.6 The Existence of Area-Minimizing Surfaces; 5.7 The Existence of Absolutely and Homologically Minimizing Surfaces in Manifolds ; Exercises; Chapter 6: Examples of Area-Minimizing Surfaces ; 6.1 The Minimal Surface Equation ; 6.2 Remarks on Higher Dimensions; 6.3 Complex Analytic Varieties ; 6.4 Fundamental Theorem of Calibrations; 6.5 History of Calibrations ; Exercises; Chapter 7: The Approximation Theorem ; 7.1 The Approximation Theorem ; Chapter 8: Survey of Regularity Results ; 8.1 Theorem ; 8.2 Theorem ; 8.3 Theorem ; 8.4 Boundary Regularity 8.5 General Ambients, Volume Constraints, and Other IntegrandsExercises; Chapter 9: Monotonicity and Oriented Tangent Cones ; 9.1 Locally Integral Flat Chains ; 9.2 Monotonicity of the Mass Ratio; 9.3 Theorem ; 9.4 Corollary; 9.5 Corollary; 9.6 Corollary; 9.7 Oriented Tangent Cones ; 9.8 Theorem ; 9.9 Theorem; Exercises; Chapter 10: The Regularity of Area-Minimizing Hypersurfaces ; 10.1 Theorem; 10.2 Regularity for Area-Minimizing Hypersurfaces Theorem ; 10.3 Lemma ; 10.4 Maximum Principle; 10.5 Simons's Lemma ; 10.6 Lemma ; 10.7 Remarks; Exercises Chapter 11: Flat Chains Modulo ν, Varifolds, and (M, ε, δ)-Minimal Sets |
| Record Nr. | UNINA-9910816760103321 |
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Morgan Frank
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| Amsterdam, [Netherlands] : , : Academic Press, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Geometric measure theory [[electronic resource] ] : a beginner's guide / / Frank Morgan ; illustrated by James F. Bredt
| Geometric measure theory [[electronic resource] ] : a beginner's guide / / Frank Morgan ; illustrated by James F. Bredt |
| Autore | Morgan Frank |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | San Diego, : Academic Press, c2000 |
| Descrizione fisica | 1 online resource (239 p.) |
| Disciplina |
515.42
515/.42 21 516.15 |
| Soggetto topico |
Geometric measure theory
Measure theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-02515-1
9786611025151 0-08-052560-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Geometric Measure Theory; Copyright Page; Contents; Preface; Chapter 1. Geometric Measure Theory; Chapter 2. Measures; Chapter 3. Lipschitz Functions and Rectifiable Sets; Chapter 4. Normal and Rectifiable Currents; Chapter 5. The Compactness Theorem and the Existence of Area-Minimizing Surfaces; Chapter 6. Examples of Area-Minimizing Surfaces; Chapter 7. The Approximation Theorem; Chapter 8. Survey of Regularity Results; Chapter 9. Monotonicity and Oriented Tangent Cones; Chapter 10. The Regularity of Area-Minimizing Hypersurfaces
Chapter 11. Flat Chains Modulo v, Varifolds, and (M, ε, δ)-Minimal SetsChapter 12. Miscellaneous Useful Results; Chapter 13. Soap Bubble Clusters; Chapter 14. Proof of Double Bubble Conjecture; Chapter 15. The Hexagonal Honeycomb and Kelvin Conjectures; Chapter 16. Immiscible Fluids and Crystals; Chapter 17. Isoperimetric Theorems in General Codimension; Solutions to Exercises; Bibliography; Index of Symbols; Name Index; Subject Index; Color Plate Section |
| Record Nr. | UNINA-9910458101503321 |
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Morgan Frank
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| San Diego, : Academic Press, c2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric measure theory [[electronic resource] ] : a beginner's guide / / Frank Morgan ; illustrated by James F. Bredt
| Geometric measure theory [[electronic resource] ] : a beginner's guide / / Frank Morgan ; illustrated by James F. Bredt |
| Autore | Morgan Frank |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | San Diego, : Academic Press, c2000 |
| Descrizione fisica | 1 online resource (239 p.) |
| Disciplina |
515.42
515/.42 21 516.15 |
| Soggetto topico |
Geometric measure theory
Measure theory |
| ISBN |
1-281-02515-1
9786611025151 0-08-052560-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Geometric Measure Theory; Copyright Page; Contents; Preface; Chapter 1. Geometric Measure Theory; Chapter 2. Measures; Chapter 3. Lipschitz Functions and Rectifiable Sets; Chapter 4. Normal and Rectifiable Currents; Chapter 5. The Compactness Theorem and the Existence of Area-Minimizing Surfaces; Chapter 6. Examples of Area-Minimizing Surfaces; Chapter 7. The Approximation Theorem; Chapter 8. Survey of Regularity Results; Chapter 9. Monotonicity and Oriented Tangent Cones; Chapter 10. The Regularity of Area-Minimizing Hypersurfaces
Chapter 11. Flat Chains Modulo v, Varifolds, and (M, ε, δ)-Minimal SetsChapter 12. Miscellaneous Useful Results; Chapter 13. Soap Bubble Clusters; Chapter 14. Proof of Double Bubble Conjecture; Chapter 15. The Hexagonal Honeycomb and Kelvin Conjectures; Chapter 16. Immiscible Fluids and Crystals; Chapter 17. Isoperimetric Theorems in General Codimension; Solutions to Exercises; Bibliography; Index of Symbols; Name Index; Subject Index; Color Plate Section |
| Record Nr. | UNINA-9910784566003321 |
|
Morgan Frank
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| San Diego, : Academic Press, c2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric measure theory : a beginner's guide / / Frank Morgan ; illustrated by James F. Bredt
| Geometric measure theory : a beginner's guide / / Frank Morgan ; illustrated by James F. Bredt |
| Autore | Morgan Frank |
| Edizione | [3rd ed.] |
| Pubbl/distr/stampa | San Diego, : Academic Press, c2000 |
| Descrizione fisica | 1 online resource (239 p.) |
| Disciplina |
515.42
515/.42 21 516.15 |
| Soggetto topico |
Geometric measure theory
Measure theory |
| ISBN |
1-281-02515-1
9786611025151 0-08-052560-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Geometric Measure Theory; Copyright Page; Contents; Preface; Chapter 1. Geometric Measure Theory; Chapter 2. Measures; Chapter 3. Lipschitz Functions and Rectifiable Sets; Chapter 4. Normal and Rectifiable Currents; Chapter 5. The Compactness Theorem and the Existence of Area-Minimizing Surfaces; Chapter 6. Examples of Area-Minimizing Surfaces; Chapter 7. The Approximation Theorem; Chapter 8. Survey of Regularity Results; Chapter 9. Monotonicity and Oriented Tangent Cones; Chapter 10. The Regularity of Area-Minimizing Hypersurfaces
Chapter 11. Flat Chains Modulo v, Varifolds, and (M, ε, δ)-Minimal SetsChapter 12. Miscellaneous Useful Results; Chapter 13. Soap Bubble Clusters; Chapter 14. Proof of Double Bubble Conjecture; Chapter 15. The Hexagonal Honeycomb and Kelvin Conjectures; Chapter 16. Immiscible Fluids and Crystals; Chapter 17. Isoperimetric Theorems in General Codimension; Solutions to Exercises; Bibliography; Index of Symbols; Name Index; Subject Index; Color Plate Section |
| Record Nr. | UNINA-9910817549003321 |
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Morgan Frank
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| San Diego, : Academic Press, c2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric measure theory : a beginner's guide / / Frank Morgan
| Geometric measure theory : a beginner's guide / / Frank Morgan |
| Autore | Morgan Frank (Professor of Mathematics, Williams College) |
| Pubbl/distr/stampa | San Diego, California ; ; London : , : Academic Press, Inc., , 1988 |
| Descrizione fisica | 1 online resource (154 p.) |
| Disciplina |
515.42
515/.42 |
| Soggetto topico | Geometric measure theory |
| ISBN | 1-4832-7780-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Geometrie Measure Theory: A Beginner's Guide; Copyright Page; Table of Contents; Preface; CHAPTER 1. Geometric Measure Theory; 1.1. Archetypical Problem; 1.2. Surfaces as a Mappings; 1.3. The Direct Method; 1.4. Rectifiable Currents; 1.5. The Compactness Theorem; 1.6. Advantages of Rectifiable Currents; 1.7. The Regularity of Area-minimizing Rectifiable Currents; CHAPTER 2. Measures; 2.1. Definitions; 2.2. Lebesgue Measure; 2.3. Hausdorff Measure [GMT 2.10]; 2.4. Integralgeometric Measure; 2.5. Densities [GMT 2.9.12, 2.10.19]; 2.6. Approximate Limits [GMT 2.9.12]
2.7. Besicovitch Covering Theorem [GMT 2.8.15]2.8.Corollary. Hn = Ln on Rn; 2.9. Corollary; 2.10. Corollary; EXERCISES; CHAPTER 3. Lipschitz Functions and Rectifiable Sets; 3.1. Lipschitz Functions; 3.2. Rademacher's Theorem [GMT 3.1.6]; 3.3. Approximation of a Lipschitz Function by aC1 Function [GMT 3.1.15].; 3.4.Lemma (Whitney's Extention Theorem) [GMT 3.1.14]; 3.5. Proposition [GMT 2.10.11]; 3.6. Jacobians; 3.7. The Area Formula [GMT 3.2, 3]; 3.8. The Coarea Formula [GMT 3.2.11]; 3.9. Tangent Cones; 3.10. Rectifiable Sets [GMT 3.2.14]; 3.11. Proposition [cf. GMT 3.2.18, 3.2.29] 3.12. Proposition [GMT 3.2.19]3.13. General Area-coarea Formula [GMT 3.2.22]; 3.14. Product of measures [GMT 3.2.23]; 3.16. Crofton's Formula [GMT 3.2.26]; 3.17. Structure Theorem [GMT 3.3.13]; EXERCISES; CHAPTER 4. Normal and Rectifiable Currents; 4.1. Vectors and Differential Forms [GMT, Chapter 1 and 4.1]; 4.2. Currents [GMT 4.1.1, 4.1.7]; 4.3. Important Spaces of Currents [GMT 4.1.24, 4.1.22, 4.1.7, 4.1.5]; 4.4. Theorem [GMT 4.1.28]; 4.5. Normal Currents [GMT 4.1.7, 4.1.12]; 4.6. Proposition [GMT 4.1.17]; 4.7. Theorem [GMT 4.1.20]; 4.8. Theorem [GMT 4.1.23] 4.9. Constancy Theorem [GMT 4.1.31]4.10. Cartesian Products; 4.11. Slicing [GMT 4.2.1]; 4.12. Lemma [GMT 4.2.15]; EXERCISES; CHAPTER 5. The Compactness Theorem and the Existence of Area-Minimizing Surfaces; 5.1. The Deformation Theorem [GMT 4.2.9]; 5.2. Corollary; 5.3. The Isoperimetric Inequality [GMT 4.2.10]; 5.4. The Closure Theorem [GMT 4.2.16]; 5.5. The Compactness Theorem [GMT 4.2.17]; 5.6. The Existence of Area-minimizing Surfaces; 5.7. The Existence of Absolutely and Homologically Minimizing Surfaces in Manifolds [GMT 5.1.6]; EXERCISES; CHAPTER 6. Examples of Area-Minimizing Surfaces 6.1. The Minimal Surface Equation [GMT 5.4.18]6.2. Remarks on Higher Dimensions; 6.3. Complex Analytic Varieties [GMT 5.4.19]; EXERCISES; CHAPTER 7. The Approximation Theorem; 7.1. The Approximation Theorem [GMT 4.1.24]; CHAPTER 8. Survey of Regularity Results; 8.1. Theorem; 8.2. Theorem [Fe]; 8.3. Theorem; 8.4. Boundary Regularity; 8.5. General Ambients and Other Integrands; EXERCISES; CHAPTER 9. Monotonicity and Oriented Tangent Cones; 9.1. Locally Integral Flat Chains [GMT 4.1.24, 4.3.16]; 9.2. Monotonicity of the Mass Ratio; 9.3. Theorem [GMT 5.4.3]; 9.4. Corollary; 9.5. Corollary 9.7. Oriented Tangent Cones [GMT 4.3.16] |
| Record Nr. | UNINA-9910786641103321 |
|
Morgan Frank (Professor of Mathematics, Williams College)
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| San Diego, California ; ; London : , : Academic Press, Inc., , 1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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