Variational methods for nonlocal fractional problems:
This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equati...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
| Schriftenreihe: | Encyclopedia of mathematics and its applications
volume 162 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 08 Mar 2016) |
| Beschreibung: | 1 online resource (xvi, 383 pages) |
| ISBN: | 9781316282397 |
| DOI: | 10.1017/CBO9781316282397 |
Internformat
MARC
| LEADER | 00000nmm a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV043940305 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 161206s2016 |||| o||u| ||||||eng d | ||
| 020 | |a 9781316282397 |c Online |9 978-1-316-28239-7 | ||
| 024 | 7 | |a 10.1017/CBO9781316282397 |2 doi | |
| 035 | |a (ZDB-20-CBO)CR9781316282397 | ||
| 035 | |a (OCoLC)967678676 | ||
| 035 | |a (DE-599)BVBBV043940305 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-92 | ||
| 082 | 0 | |a 515.8/3 |2 23 | |
| 084 | |a SK 660 |0 (DE-625)143251: |2 rvk | ||
| 100 | 1 | |a Molica Bisci, Giovanni |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Variational methods for nonlocal fractional problems |c Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2016 | |
| 300 | |a 1 online resource (xvi, 383 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 0 | |a Encyclopedia of mathematics and its applications |v volume 162 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 08 Mar 2016) | ||
| 520 | |a This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory | ||
| 650 | 4 | |a Fractional calculus | |
| 650 | 4 | |a Calculus of variations | |
| 650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Funktionalanalysis |0 (DE-588)4018916-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Variationsrechnung |0 (DE-588)4062355-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Sobolev-Raum |0 (DE-588)4055345-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Sobolev-Raum |0 (DE-588)4055345-0 |D s |
| 689 | 0 | 1 | |a Variationsrechnung |0 (DE-588)4062355-5 |D s |
| 689 | 0 | 2 | |a Funktionalanalysis |0 (DE-588)4018916-8 |D s |
| 689 | 0 | 3 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Rădulescu, Vicenţiu D., |d 1958- |e Sonstige |4 oth | |
| 700 | 1 | |a Servadei, Raffaella |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druckausgabe |z 978-1-107-11194-3 |
| 856 | 4 | 0 | |u https://doi.org/10.1017/CBO9781316282397 |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-20-CBO | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029349275 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u https://doi.org/10.1017/CBO9781316282397 |l BSB01 |p ZDB-20-CBO |q BSB_PDA_CBO |x Verlag |3 Volltext | |
| 966 | e | |u https://doi.org/10.1017/CBO9781316282397 |l FHN01 |p ZDB-20-CBO |q FHN_PDA_CBO |x Verlag |3 Volltext | |
Datensatz im Suchindex
| _version_ | 1804176880674275328 |
|---|---|
| any_adam_object | |
| author | Molica Bisci, Giovanni |
| author_facet | Molica Bisci, Giovanni |
| author_role | aut |
| author_sort | Molica Bisci, Giovanni |
| author_variant | b g m bg bgm |
| building | Verbundindex |
| bvnumber | BV043940305 |
| classification_rvk | SK 660 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9781316282397 (OCoLC)967678676 (DE-599)BVBBV043940305 |
| dewey-full | 515.8/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8/3 |
| dewey-search | 515.8/3 |
| dewey-sort | 3515.8 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316282397 |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03490nmm a2200565zcb4500</leader><controlfield tag="001">BV043940305</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">161206s2016 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781316282397</subfield><subfield code="c">Online</subfield><subfield code="9">978-1-316-28239-7</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1017/CBO9781316282397</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-20-CBO)CR9781316282397</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)967678676</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV043940305</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</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-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.8/3</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 660</subfield><subfield code="0">(DE-625)143251:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Molica Bisci, Giovanni</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Variational methods for nonlocal fractional problems</subfield><subfield code="c">Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge University Press</subfield><subfield code="c">2016</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xvi, 383 pages)</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">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Encyclopedia of mathematics and its applications</subfield><subfield code="v">volume 162</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from publisher's bibliographic system (viewed on 08 Mar 2016)</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fractional calculus</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of variations</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Sobolev-Raum</subfield><subfield code="0">(DE-588)4055345-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Sobolev-Raum</subfield><subfield code="0">(DE-588)4055345-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Funktionalanalysis</subfield><subfield code="0">(DE-588)4018916-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Rădulescu, Vicenţiu D., |d 1958-</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Servadei, Raffaella</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druckausgabe</subfield><subfield code="z">978-1-107-11194-3</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1017/CBO9781316282397</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-20-CBO</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-029349275</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781316282397</subfield><subfield code="l">BSB01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">BSB_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">https://doi.org/10.1017/CBO9781316282397</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-20-CBO</subfield><subfield code="q">FHN_PDA_CBO</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV043940305 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316282397 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349275 |
| oclc_num | 967678676 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xvi, 383 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Encyclopedia of mathematics and its applications |
| spelling | Molica Bisci, Giovanni Verfasser aut Variational methods for nonlocal fractional problems Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei Cambridge Cambridge University Press 2016 1 online resource (xvi, 383 pages) txt rdacontent c rdamedia cr rdacarrier Encyclopedia of mathematics and its applications volume 162 Title from publisher's bibliographic system (viewed on 08 Mar 2016) This book provides researchers and graduate students with a thorough introduction to the variational analysis of nonlinear problems described by nonlocal operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations, plus their application to various processes arising in the applied sciences. The equations are examined from several viewpoints, with the calculus of variations as the unifying theme. Part I begins the book with some basic facts about fractional Sobolev spaces. Part II is dedicated to the analysis of fractional elliptic problems involving subcritical nonlinearities, via classical variational methods and other novel approaches. Finally, Part III contains a selection of recent results on critical fractional equations. A careful balance is struck between rigorous mathematics and physical applications, allowing readers to see how these diverse topics relate to other important areas, including topology, functional analysis, mathematical physics, and potential theory Fractional calculus Calculus of variations Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 s Variationsrechnung (DE-588)4062355-5 s Funktionalanalysis (DE-588)4018916-8 s Partielle Differentialgleichung (DE-588)4044779-0 s 1\p DE-604 Rădulescu, Vicenţiu D., |d 1958- Sonstige oth Servadei, Raffaella Sonstige oth Erscheint auch als Druckausgabe 978-1-107-11194-3 https://doi.org/10.1017/CBO9781316282397 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Molica Bisci, Giovanni Variational methods for nonlocal fractional problems Fractional calculus Calculus of variations Partielle Differentialgleichung (DE-588)4044779-0 gnd Funktionalanalysis (DE-588)4018916-8 gnd Variationsrechnung (DE-588)4062355-5 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4018916-8 (DE-588)4062355-5 (DE-588)4055345-0 |
| title | Variational methods for nonlocal fractional problems |
| title_auth | Variational methods for nonlocal fractional problems |
| title_exact_search | Variational methods for nonlocal fractional problems |
| title_full | Variational methods for nonlocal fractional problems Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei |
| title_fullStr | Variational methods for nonlocal fractional problems Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei |
| title_full_unstemmed | Variational methods for nonlocal fractional problems Giovanni Molica Bisci, Vicentiu D. Radulescu, Raffaella Servadei |
| title_short | Variational methods for nonlocal fractional problems |
| title_sort | variational methods for nonlocal fractional problems |
| topic | Fractional calculus Calculus of variations Partielle Differentialgleichung (DE-588)4044779-0 gnd Funktionalanalysis (DE-588)4018916-8 gnd Variationsrechnung (DE-588)4062355-5 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| topic_facet | Fractional calculus Calculus of variations Partielle Differentialgleichung Funktionalanalysis Variationsrechnung Sobolev-Raum |
| url | https://doi.org/10.1017/CBO9781316282397 |
| work_keys_str_mv | AT molicabiscigiovanni variationalmethodsfornonlocalfractionalproblems AT radulescuvicentiudd1958 variationalmethodsfornonlocalfractionalproblems AT servadeiraffaella variationalmethodsfornonlocalfractionalproblems |