Global bifurcation in variational inequalities: applications to obstacle and unilateral problems
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1997
|
| Series: | Applied mathematical sciences
123 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV, 250 S. |
| ISBN: | 0387948864 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
List of Figures xi
List of Symbols xiii
1 Introduction 1
1.1 Variational inequalities and bifurcation 1
1.2 Bifurcation in variational inequalities 4
1.3 Discussion of results 9
1.4 An outline 14
1.5 Notation and tools 15
2 Some Auxiliary Results 17
2.1 Results on variational inequalities 17
2.2 The Leray Schauder degree and index 19
2.3 Global bifurcation results 21
3 Bifurcation in Hilbert Spaces 23
3.1 Statement of the problem 23
3.2 Homogenization procedures 25
4 Degree Calculations The Hilbert Space Case 39
4.1 Applications of the fixed point index 39
4.2 The case of a simple eigenvalue 46
x Contents
5 Bifurcation from Infinity in Hilbert Spaces 79
5.1 Asymptotic homogenization 80
5.2 Global asymptotic bifurcation 91
6 Bifurcation in Banach Spaces 103
6.1 Notation and preparatory results 103
6.2 Homogenization procedures 115
6.3 Elastic plates with unilateral conditions 126
6.4 Global behavior of bifurcation branches 135
6.5 More applications and examples 169
7 Bifurcation from Infinity in Banach Spaces 207
7.1 Existence of global bifurcation branches 207
7.2 Some applications 221
References 239
Index 247
|
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| author | Le, Vy Khoi Schmitt, Klaus |
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| id | DE-604.BV011275572 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:06:59Z |
| institution | BVB |
| isbn | 0387948864 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007571657 |
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| physical | XIV, 250 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | Le, Vy Khoi Verfasser (DE-588)1042167362 aut Global bifurcation in variational inequalities applications to obstacle and unilateral problems Vy Khoi Le ; Klaus Schmitt New York [u.a.] Springer 1997 XIV, 250 S. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 123 Bifurcation theory Variational inequalities (Mathematics) Globale Verzweigung (DE-588)4374566-0 gnd rswk-swf Variationsgleichung (DE-588)4671202-1 gnd rswk-swf Variationsungleichung (DE-588)4187420-1 gnd rswk-swf Variationsgleichung (DE-588)4671202-1 s Globale Verzweigung (DE-588)4374566-0 s DE-604 Variationsungleichung (DE-588)4187420-1 s Schmitt, Klaus Verfasser aut Applied mathematical sciences 123 (DE-604)BV000005274 123 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007571657&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Le, Vy Khoi Schmitt, Klaus Global bifurcation in variational inequalities applications to obstacle and unilateral problems Applied mathematical sciences Bifurcation theory Variational inequalities (Mathematics) Globale Verzweigung (DE-588)4374566-0 gnd Variationsgleichung (DE-588)4671202-1 gnd Variationsungleichung (DE-588)4187420-1 gnd |
| subject_GND | (DE-588)4374566-0 (DE-588)4671202-1 (DE-588)4187420-1 |
| title | Global bifurcation in variational inequalities applications to obstacle and unilateral problems |
| title_auth | Global bifurcation in variational inequalities applications to obstacle and unilateral problems |
| title_exact_search | Global bifurcation in variational inequalities applications to obstacle and unilateral problems |
| title_full | Global bifurcation in variational inequalities applications to obstacle and unilateral problems Vy Khoi Le ; Klaus Schmitt |
| title_fullStr | Global bifurcation in variational inequalities applications to obstacle and unilateral problems Vy Khoi Le ; Klaus Schmitt |
| title_full_unstemmed | Global bifurcation in variational inequalities applications to obstacle and unilateral problems Vy Khoi Le ; Klaus Schmitt |
| title_short | Global bifurcation in variational inequalities |
| title_sort | global bifurcation in variational inequalities applications to obstacle and unilateral problems |
| title_sub | applications to obstacle and unilateral problems |
| topic | Bifurcation theory Variational inequalities (Mathematics) Globale Verzweigung (DE-588)4374566-0 gnd Variationsgleichung (DE-588)4671202-1 gnd Variationsungleichung (DE-588)4187420-1 gnd |
| topic_facet | Bifurcation theory Variational inequalities (Mathematics) Globale Verzweigung Variationsgleichung Variationsungleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007571657&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005274 |
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