Nonlinear elliptic equations of the second order:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2016]
|
| Schriftenreihe: | Graduate studies in mathematics
volume 171 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | VIII, 368 Seiten |
| ISBN: | 9781470426071 |
Internformat
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| 100 | 1 | |a Han, Qing |d 1964- |e Verfasser |0 (DE-588)1102177458 |4 aut | |
| 245 | 1 | 0 | |a Nonlinear elliptic equations of the second order |c Qing Han |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [2016] | |
| 300 | |a VIII, 368 Seiten | ||
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| 490 | 1 | |a Graduate studies in mathematics |v volume 171 | |
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| 650 | 7 | |a Partial differential equations ... Elliptic equations and systems ... Elliptic Monge-Ampère equations |2 msc | |
| 650 | 4 | |a Differential equations, Elliptic | |
| 650 | 4 | |a Differential equations, Nonlinear | |
| 650 | 4 | |a Partial differential equations ... Elliptic equations and systems ... Nonlinear elliptic equations | |
| 650 | 4 | |a Partial differential equations ... Elliptic equations and systems ... Boundary value problems for second-order elliptic equations | |
| 650 | 4 | |a Partial differential equations ... Elliptic equations and systems ... Quasilinear elliptic equations with mean curvature operator | |
| 650 | 4 | |a Partial differential equations ... Elliptic equations and systems ... Elliptic Monge-Ampère equations | |
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Datensatz im Suchindex
| _version_ | 1804176250439204864 |
|---|---|
| adam_text | Contents
Preface
Introduction
Chapter
§1.1*
§1.2.
§1.3.
1. Linear Elliptic Equations
The Maximum Principle
Krylov-Safonov’s Harnack Inequality
The Schauder Theory
Part 1. Quasilinear Elliptic Equations
Chapter 2. Quasilinear Uniformly Elliptic Equations
§2.1. Basic Properties
§2.2. Interior CCEstimates
§2.3. Global C1-Estimates
§2.4. Interior 71,a-Estimates
§2.5. Global C1,a-Estimates
§2.6. Dirichlet Problems
Chapter 3. Mean Curvature Equations
§3.1. Principal Curvatures
§3.2. Global Estimates
§3.3. Interior Gradient Estimates
§3.4. Dirichlet Problems
vii
1
7
8
23
42
51
52
55
58
61
68
73
79
80
87
100
105
v
VI
Contents
Chapter 4. Minimal Surface Equations 115
§4.1. Integral Formulas 116
§4.2. Differential Identities 127
§4.3. Interior Gradient Estimates 136
§4.4. Interior Curvature Estimates 141
§4.5. Differential Identities: An Alternative Approach 151
Part 2* Fully Nonlinear Elliptic Equations
Chapter 5. Fully Nonlinear Uniformly Elliptic Equations 163
§5.1. Basic Properties 164
§5.2. Interior C2-Estimates 172
§5.3. Global C2-Estimates 194
§5.4. Interior C2,û:-Estimates 200
§5.5. Global C2,a-Estimates 208
§5.6. Dirichlet Problems 213
Chapter 6. Monge-Ampère Equations 219
§6.1. Basic Properties 219
§6.2. Global C2-Estimates 223
§6.3. Interior C2~Estimates 236
§6.4. The Bernstein Problem 241
Chapter 7. Complex Monge-Ampère Equations 253
§7.1. Basic Properties 253
§7.2. Global C2-Estimates 258
Chapter 8. Generalized Solutions of Monge-Ampère Equations 277
§8.1. Monge-Ampère Measures 278
§8.2. Dirichlet Problems 300
§8.3. Global Hôlder Estimates 313
§8.4. Interior C1,a-Regularity 325
§8.5. Interior C2,a-Regularity 340
Bibliography 355
Index 365
|
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| author | Han, Qing 1964- |
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| discipline | Mathematik |
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| id | DE-604.BV043573508 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:29:12Z |
| institution | BVB |
| isbn | 9781470426071 |
| language | English |
| lccn | 015043419 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028988308 |
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| owner_facet | DE-19 DE-BY-UBM DE-83 DE-355 DE-BY-UBR DE-188 |
| physical | VIII, 368 Seiten |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Graduate studies in mathematics |
| series2 | Graduate studies in mathematics |
| spelling | Han, Qing 1964- Verfasser (DE-588)1102177458 aut Nonlinear elliptic equations of the second order Qing Han Providence, Rhode Island American Mathematical Society [2016] VIII, 368 Seiten txt rdacontent n rdamedia nc rdacarrier Graduate studies in mathematics volume 171 Includes bibliographical references and index Partial differential equations ... Elliptic equations and systems ... Nonlinear elliptic equations msc Partial differential equations ... Elliptic equations and systems ... Boundary value problems for second-order elliptic equations msc Partial differential equations ... Elliptic equations and systems ... Quasilinear elliptic equations with mean curvature operator msc Partial differential equations ... Elliptic equations and systems ... Elliptic Monge-Ampère equations msc Differential equations, Elliptic Differential equations, Nonlinear Partial differential equations ... Elliptic equations and systems ... Nonlinear elliptic equations Partial differential equations ... Elliptic equations and systems ... Boundary value problems for second-order elliptic equations Partial differential equations ... Elliptic equations and systems ... Quasilinear elliptic equations with mean curvature operator Partial differential equations ... Elliptic equations and systems ... Elliptic Monge-Ampère equations Ordnung 2 (DE-588)4350619-7 gnd rswk-swf Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd rswk-swf Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 s Ordnung 2 (DE-588)4350619-7 s DE-604 Graduate studies in mathematics volume 171 (DE-604)BV009739289 171 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028988308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Han, Qing 1964- Nonlinear elliptic equations of the second order Graduate studies in mathematics Partial differential equations ... Elliptic equations and systems ... Nonlinear elliptic equations msc Partial differential equations ... Elliptic equations and systems ... Boundary value problems for second-order elliptic equations msc Partial differential equations ... Elliptic equations and systems ... Quasilinear elliptic equations with mean curvature operator msc Partial differential equations ... Elliptic equations and systems ... Elliptic Monge-Ampère equations msc Differential equations, Elliptic Differential equations, Nonlinear Partial differential equations ... Elliptic equations and systems ... Nonlinear elliptic equations Partial differential equations ... Elliptic equations and systems ... Boundary value problems for second-order elliptic equations Partial differential equations ... Elliptic equations and systems ... Quasilinear elliptic equations with mean curvature operator Partial differential equations ... Elliptic equations and systems ... Elliptic Monge-Ampère equations Ordnung 2 (DE-588)4350619-7 gnd Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd |
| subject_GND | (DE-588)4350619-7 (DE-588)4310554-3 |
| title | Nonlinear elliptic equations of the second order |
| title_auth | Nonlinear elliptic equations of the second order |
| title_exact_search | Nonlinear elliptic equations of the second order |
| title_full | Nonlinear elliptic equations of the second order Qing Han |
| title_fullStr | Nonlinear elliptic equations of the second order Qing Han |
| title_full_unstemmed | Nonlinear elliptic equations of the second order Qing Han |
| title_short | Nonlinear elliptic equations of the second order |
| title_sort | nonlinear elliptic equations of the second order |
| topic | Partial differential equations ... Elliptic equations and systems ... Nonlinear elliptic equations msc Partial differential equations ... Elliptic equations and systems ... Boundary value problems for second-order elliptic equations msc Partial differential equations ... Elliptic equations and systems ... Quasilinear elliptic equations with mean curvature operator msc Partial differential equations ... Elliptic equations and systems ... Elliptic Monge-Ampère equations msc Differential equations, Elliptic Differential equations, Nonlinear Partial differential equations ... Elliptic equations and systems ... Nonlinear elliptic equations Partial differential equations ... Elliptic equations and systems ... Boundary value problems for second-order elliptic equations Partial differential equations ... Elliptic equations and systems ... Quasilinear elliptic equations with mean curvature operator Partial differential equations ... Elliptic equations and systems ... Elliptic Monge-Ampère equations Ordnung 2 (DE-588)4350619-7 gnd Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd |
| topic_facet | Partial differential equations ... Elliptic equations and systems ... Nonlinear elliptic equations Partial differential equations ... Elliptic equations and systems ... Boundary value problems for second-order elliptic equations Partial differential equations ... Elliptic equations and systems ... Quasilinear elliptic equations with mean curvature operator Partial differential equations ... Elliptic equations and systems ... Elliptic Monge-Ampère equations Differential equations, Elliptic Differential equations, Nonlinear Ordnung 2 Nichtlineare elliptische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028988308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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