Morse Index of Solutions of Nonlinear Elliptic Equations /

Morse Index of Solutions of Nonlinear Elliptic Equations / / Lucio Damascelli, Filomena Pacella.

This monograph presents in a unified manner the use of the Morse index, and especially its connections to the maximum principle, in the study of nonlinear elliptic equations. The knowledge or a bound on the Morse index of a solution is a very important qualitative information which can be used in se...

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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
VerfasserIn:
Damascelli, Lucio,
Pacella, Filomena,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2019
Year of Publication:2019
Language:English
Series:De Gruyter Series in Nonlinear Analysis and Applications , 30
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Physical Description:1 online resource (XV, 254 p.)
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id 9783110538243
ctrlnum (DE-B1597)478906
(OCoLC)1110716343
collection bib_alma
record_format marc
spelling Damascelli, Lucio, author. aut http://id.loc.gov/vocabulary/relators/aut
Morse Index of Solutions of Nonlinear Elliptic Equations / Lucio Damascelli, Filomena Pacella.
Berlin ; Boston : De Gruyter, [2019]
©2019
1 online resource (XV, 254 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Series in Nonlinear Analysis and Applications , 0941-813X ; 30
Frontmatter -- Preface -- Contents -- Notation -- 1. Preliminaries -- 2. Introduction to Morse theory -- 3. Morse theory for semilinear elliptic equations -- 4. Morse index of radial solutions of Lane–Emden problems -- 5. Bifurcation from radial solutions -- 6. Morse index and symmetry for semilinear elliptic equations in bounded domains -- 7. Morse index and symmetry for elliptic systems in bounded domains -- 8. Some results in unbounded domains -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This monograph presents in a unified manner the use of the Morse index, and especially its connections to the maximum principle, in the study of nonlinear elliptic equations. The knowledge or a bound on the Morse index of a solution is a very important qualitative information which can be used in several ways for different problems, in order to derive uniqueness, existence or nonexistence, symmetry, and other properties of solutions.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
MATHEMATICS / Differential Equations / Partial. bisacsh
Pacella, Filomena, author. aut http://id.loc.gov/vocabulary/relators/aut
Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 9783110762464
Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 9783110719567
Title is part of eBook package: De Gruyter DG Studies in Nonlinear Analysis and Applications 9783110647099
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English 9783110616859
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA
EPUB 9783110537437
print 9783110537321
https://doi.org/10.1515/9783110538243
https://www.degruyter.com/isbn/9783110538243
Cover https://www.degruyter.com/document/cover/isbn/9783110538243/original
language English
format eBook
author Damascelli, Lucio,
Damascelli, Lucio,
Pacella, Filomena,
spellingShingle Damascelli, Lucio,
Damascelli, Lucio,
Pacella, Filomena,
Morse Index of Solutions of Nonlinear Elliptic Equations /
De Gruyter Series in Nonlinear Analysis and Applications ,
Frontmatter --
Preface --
Contents --
Notation --
1. Preliminaries --
2. Introduction to Morse theory --
3. Morse theory for semilinear elliptic equations --
4. Morse index of radial solutions of Lane–Emden problems --
5. Bifurcation from radial solutions --
6. Morse index and symmetry for semilinear elliptic equations in bounded domains --
7. Morse index and symmetry for elliptic systems in bounded domains --
8. Some results in unbounded domains --
Bibliography --
Index
author_facet Damascelli, Lucio,
Damascelli, Lucio,
Pacella, Filomena,
Pacella, Filomena,
Pacella, Filomena,
author_variant l d ld
l d ld
f p fp
author_role VerfasserIn
VerfasserIn
VerfasserIn
author2 Pacella, Filomena,
Pacella, Filomena,
author2_variant f p fp
author2_role VerfasserIn
VerfasserIn
author_sort Damascelli, Lucio,
title Morse Index of Solutions of Nonlinear Elliptic Equations /
title_full Morse Index of Solutions of Nonlinear Elliptic Equations / Lucio Damascelli, Filomena Pacella.
title_fullStr Morse Index of Solutions of Nonlinear Elliptic Equations / Lucio Damascelli, Filomena Pacella.
title_full_unstemmed Morse Index of Solutions of Nonlinear Elliptic Equations / Lucio Damascelli, Filomena Pacella.
title_auth Morse Index of Solutions of Nonlinear Elliptic Equations /
title_alt Frontmatter --
Preface --
Contents --
Notation --
1. Preliminaries --
2. Introduction to Morse theory --
3. Morse theory for semilinear elliptic equations --
4. Morse index of radial solutions of Lane–Emden problems --
5. Bifurcation from radial solutions --
6. Morse index and symmetry for semilinear elliptic equations in bounded domains --
7. Morse index and symmetry for elliptic systems in bounded domains --
8. Some results in unbounded domains --
Bibliography --
Index
title_new Morse Index of Solutions of Nonlinear Elliptic Equations /
title_sort morse index of solutions of nonlinear elliptic equations /
series De Gruyter Series in Nonlinear Analysis and Applications ,
series2 De Gruyter Series in Nonlinear Analysis and Applications ,
publisher De Gruyter,
publishDate 2019
physical 1 online resource (XV, 254 p.)
Issued also in print.
contents Frontmatter --
Preface --
Contents --
Notation --
1. Preliminaries --
2. Introduction to Morse theory --
3. Morse theory for semilinear elliptic equations --
4. Morse index of radial solutions of Lane–Emden problems --
5. Bifurcation from radial solutions --
6. Morse index and symmetry for semilinear elliptic equations in bounded domains --
7. Morse index and symmetry for elliptic systems in bounded domains --
8. Some results in unbounded domains --
Bibliography --
Index
isbn 9783110538243
9783110762464
9783110719567
9783110647099
9783110616859
9783110610765
9783110664232
9783110610406
9783110606362
9783110537437
9783110537321
issn 0941-813X ;
url https://doi.org/10.1515/9783110538243
https://www.degruyter.com/isbn/9783110538243
https://www.degruyter.com/document/cover/isbn/9783110538243/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 515 - Analysis
dewey-full 515.3533
dewey-sort 3515.3533
dewey-raw 515.3533
dewey-search 515.3533
doi_str_mv 10.1515/9783110538243
oclc_num 1110716343
work_keys_str_mv AT damascellilucio morseindexofsolutionsofnonlinearellipticequations
AT pacellafilomena morseindexofsolutionsofnonlinearellipticequations
status_str n
ids_txt_mv (DE-B1597)478906
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carrierType_str_mv cr
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Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE DG 2019 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019
is_hierarchy_title Morse Index of Solutions of Nonlinear Elliptic Equations /
container_title Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1
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