Nonlinear potential theory of degenerate elliptic equations:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford u.a.
Clarendon Press
1993
|
| Series: | Oxford mathematical monographs
Oxford science publications |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | V, 363 S. |
| ISBN: | 0198536690 |
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| 245 | 1 | 0 | |a Nonlinear potential theory of degenerate elliptic equations |c Juha Heinonen, Tero Kilpeläinen and Olli Martio |
| 264 | 1 | |a Oxford u.a. |b Clarendon Press |c 1993 | |
| 300 | |a V, 363 S. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction 1
1. Weighted Sobolev spaces 7
2. Capacity 27
3. Supersolutions and the obstacle problem 55
4. Refined Sobolev spaces 87
5. Variational integrals 97
6. ^4 harmonic functions 110
7. *4 superharmonic functions 131
8. Balayage 157
9. Perron s method, barriers, and resolutivity 168
10. Polar sets 193
11. .4 harmonic measure 201
12. Fine topology 217
13. Harmonic morphisms 236
14. Quasiregular mappings 250
15. ^4p weights and Jacobians of quasiconformal mappings 297
16. Axiomatic nonlinear potential theory 317
17. Appendix I: The existence of solutions 332
18. Appendix II: The John Nirenberg lemma 336
Bibliography 342
List of symbols 356
Index 360
v
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| any_adam_object | 1 |
| author | Heinonen, Juha 1960-2007 Kilpeläinen, Tero Martio, Olli |
| author_GND | (DE-588)112583830 |
| author_facet | Heinonen, Juha 1960-2007 Kilpeläinen, Tero Martio, Olli |
| author_role | aut aut aut |
| author_sort | Heinonen, Juha 1960-2007 |
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| building | Verbundindex |
| bvnumber | BV008022661 |
| classification_rvk | SK 560 |
| ctrlnum | (OCoLC)260196001 (DE-599)BVBBV008022661 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV008022661 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:13:03Z |
| institution | BVB |
| isbn | 0198536690 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005278927 |
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| physical | V, 363 S. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | Oxford mathematical monographs Oxford science publications |
| spelling | Heinonen, Juha 1960-2007 Verfasser (DE-588)112583830 aut Nonlinear potential theory of degenerate elliptic equations Juha Heinonen, Tero Kilpeläinen and Olli Martio Oxford u.a. Clarendon Press 1993 V, 363 S. txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Oxford science publications Elliptisch entartete Differentialgleichung (DE-588)4152026-9 gnd rswk-swf Nichtlineare Potenzialtheorie (DE-588)4315456-6 gnd rswk-swf Nichtlineare Potenzialtheorie (DE-588)4315456-6 s Elliptisch entartete Differentialgleichung (DE-588)4152026-9 s DE-604 Kilpeläinen, Tero Verfasser aut Martio, Olli Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005278927&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heinonen, Juha 1960-2007 Kilpeläinen, Tero Martio, Olli Nonlinear potential theory of degenerate elliptic equations Elliptisch entartete Differentialgleichung (DE-588)4152026-9 gnd Nichtlineare Potenzialtheorie (DE-588)4315456-6 gnd |
| subject_GND | (DE-588)4152026-9 (DE-588)4315456-6 |
| title | Nonlinear potential theory of degenerate elliptic equations |
| title_auth | Nonlinear potential theory of degenerate elliptic equations |
| title_exact_search | Nonlinear potential theory of degenerate elliptic equations |
| title_full | Nonlinear potential theory of degenerate elliptic equations Juha Heinonen, Tero Kilpeläinen and Olli Martio |
| title_fullStr | Nonlinear potential theory of degenerate elliptic equations Juha Heinonen, Tero Kilpeläinen and Olli Martio |
| title_full_unstemmed | Nonlinear potential theory of degenerate elliptic equations Juha Heinonen, Tero Kilpeläinen and Olli Martio |
| title_short | Nonlinear potential theory of degenerate elliptic equations |
| title_sort | nonlinear potential theory of degenerate elliptic equations |
| topic | Elliptisch entartete Differentialgleichung (DE-588)4152026-9 gnd Nichtlineare Potenzialtheorie (DE-588)4315456-6 gnd |
| topic_facet | Elliptisch entartete Differentialgleichung Nichtlineare Potenzialtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005278927&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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