Global bifurcation in variational inequalities: applications to obstacle and unilateral problems
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1997
|
| Schriftenreihe: | Applied mathematical sciences
123 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 250 S. |
| ISBN: | 0387948864 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV011275572 | ||
| 003 | DE-604 | ||
| 005 | 19980220 | ||
| 007 | t | ||
| 008 | 970327s1997 |||| 00||| eng d | ||
| 020 | |a 0387948864 |9 0-387-94886-4 | ||
| 035 | |a (OCoLC)246686883 | ||
| 035 | |a (DE-599)BVBBV011275572 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-703 |a DE-91 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA1 | |
| 050 | 0 | |a QA316 | |
| 082 | 0 | |a 510 | |
| 084 | |a SK 490 |0 (DE-625)143242: |2 rvk | ||
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 084 | |a 73H05 |2 msc | ||
| 084 | |a 73B27 |2 msc | ||
| 084 | |a 49J40 |2 msc | ||
| 084 | |a MAT 587f |2 stub | ||
| 100 | 1 | |a Le, Vy Khoi |e Verfasser |0 (DE-588)1042167362 |4 aut | |
| 245 | 1 | 0 | |a Global bifurcation in variational inequalities |b applications to obstacle and unilateral problems |c Vy Khoi Le ; Klaus Schmitt |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1997 | |
| 300 | |a XIV, 250 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Applied mathematical sciences |v 123 | |
| 650 | 4 | |a Bifurcation theory | |
| 650 | 4 | |a Variational inequalities (Mathematics) | |
| 650 | 0 | 7 | |a Globale Verzweigung |0 (DE-588)4374566-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Variationsgleichung |0 (DE-588)4671202-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Variationsungleichung |0 (DE-588)4187420-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Variationsgleichung |0 (DE-588)4671202-1 |D s |
| 689 | 0 | 1 | |a Globale Verzweigung |0 (DE-588)4374566-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Variationsungleichung |0 (DE-588)4187420-1 |D s |
| 689 | 1 | 1 | |a Globale Verzweigung |0 (DE-588)4374566-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Schmitt, Klaus |e Verfasser |4 aut | |
| 830 | 0 | |a Applied mathematical sciences |v 123 |w (DE-604)BV000005274 |9 123 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007571657 | ||
Datensatz im Suchindex
| _version_ | 1804125779679772672 |
|---|---|
| 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
|
| any_adam_object | 1 |
| author | Le, Vy Khoi Schmitt, Klaus |
| author_GND | (DE-588)1042167362 |
| author_facet | Le, Vy Khoi Schmitt, Klaus |
| author_role | aut aut |
| author_sort | Le, Vy Khoi |
| author_variant | v k l vk vkl k s ks |
| building | Verbundindex |
| bvnumber | BV011275572 |
| callnumber-first | Q - Science |
| callnumber-label | QA1 |
| callnumber-raw | QA1 QA316 |
| callnumber-search | QA1 QA316 |
| callnumber-sort | QA 11 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 490 SK 520 |
| classification_tum | MAT 587f |
| ctrlnum | (OCoLC)246686883 (DE-599)BVBBV011275572 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02085nam a2200541 cb4500</leader><controlfield tag="001">BV011275572</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19980220 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">970327s1997 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387948864</subfield><subfield code="9">0-387-94886-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246686883</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV011275572</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA1</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA316</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 490</subfield><subfield code="0">(DE-625)143242:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 520</subfield><subfield code="0">(DE-625)143244:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">73H05</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">73B27</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">49J40</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 587f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Le, Vy Khoi</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1042167362</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Global bifurcation in variational inequalities</subfield><subfield code="b">applications to obstacle and unilateral problems</subfield><subfield code="c">Vy Khoi Le ; Klaus Schmitt</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1997</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XIV, 250 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Applied mathematical sciences</subfield><subfield code="v">123</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bifurcation theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Variational inequalities (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Globale Verzweigung</subfield><subfield code="0">(DE-588)4374566-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Variationsgleichung</subfield><subfield code="0">(DE-588)4671202-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Variationsungleichung</subfield><subfield code="0">(DE-588)4187420-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Variationsgleichung</subfield><subfield code="0">(DE-588)4671202-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Globale Verzweigung</subfield><subfield code="0">(DE-588)4374566-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Variationsungleichung</subfield><subfield code="0">(DE-588)4187420-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Globale Verzweigung</subfield><subfield code="0">(DE-588)4374566-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Schmitt, Klaus</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Applied mathematical sciences</subfield><subfield code="v">123</subfield><subfield code="w">(DE-604)BV000005274</subfield><subfield code="9">123</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007571657</subfield></datafield></record></collection> |
| 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 |
| oclc_num | 246686883 |
| open_access_boolean | |
| owner | DE-12 DE-703 DE-91 DE-BY-TUM DE-83 DE-11 DE-188 |
| owner_facet | DE-12 DE-703 DE-91 DE-BY-TUM DE-83 DE-11 DE-188 |
| 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 |
| work_keys_str_mv | AT levykhoi globalbifurcationinvariationalinequalitiesapplicationstoobstacleandunilateralproblems AT schmittklaus globalbifurcationinvariationalinequalitiesapplicationstoobstacleandunilateralproblems |