skip to content
Maximum principles and geometric applications Preview this item
ClosePreview this item
Checking...

Maximum principles and geometric applications

Author: Luis J Alías; Paolo Mastrolia; Marco Rigoli
Publisher: Cham : Springer, 2016.
Series: Springer monographs in mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators is given, as well  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Luis J Alías; Paolo Mastrolia; Marco Rigoli
ISBN: 9783319243375 3319243373 3319243357 9783319243351
OCLC Number: 939519343
Description: 1 online resource (xxvii, 570 pages).
Contents: A crash course in Riemannian geometry --
The Omori-Yau maximum principle --
New forms of the maximum principle --
Sufficient conditions for the validity of the weak maximum principle --
Miscellany results for submanifolds --
Applications to hypersurfaces --
Hypersurfaces in warped products --
Applications to Ricci Solitons --
Spacelike hypersurfaces in Lorentzian spacetimes.
Series Title: Springer monographs in mathematics.
Responsibility: Luis J. Alías, Paolo Mastrolia, Marco Rigoli.

Abstract:

This monograph presents an introduction to some geometric and analytic aspects of the maximum principle.  Read more...

Reviews

Editorial reviews

Publisher Synopsis

"This is a very well-written book on an active area of research appealing to geometers and analysts alike, whether they are specialists in the field, or they simply desire to learn the techniques. Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/939519343> # Maximum principles and geometric applications
    a schema:CreativeWork, schema:MediaObject, schema:Book ;
   library:oclcnum "939519343" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/sz> ;
   schema:about <http://dewey.info/class/515.353/e23/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/2922801943#Topic/mathematics_mathematical_analysis> ; # MATHEMATICS--Mathematical Analysis
   schema:about <http://experiment.worldcat.org/entity/work/data/2922801943#Topic/maximum_principles_mathematics> ; # Maximum principles (Mathematics)
   schema:about <http://experiment.worldcat.org/entity/work/data/2922801943#Topic/geometry_riemannian> ; # Geometry, Riemannian
   schema:about <http://experiment.worldcat.org/entity/work/data/2922801943#Topic/mathematics_calculus> ; # MATHEMATICS--Calculus
   schema:author <http://experiment.worldcat.org/entity/work/data/2922801943#Person/rigoli_marco> ; # Marco Rigoli
   schema:author <http://experiment.worldcat.org/entity/work/data/2922801943#Person/alias_luis_j> ; # Luis J. Alías
   schema:author <http://experiment.worldcat.org/entity/work/data/2922801943#Person/mastrolia_paolo> ; # Paolo Mastrolia
   schema:bookFormat schema:EBook ;
   schema:datePublished "2016" ;
   schema:description "This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In particular, a generalization of the Omori-Yau maximum principle to a wide class of differential operators is given, as well as a corresponding weak maximum principle and its equivalent open form and parabolicity as a special stronger formulation of the latter. In the second part, the attention focuses on a wide range of applications, mainly to geometric problems, but also on some analytic (especially PDEs) questions including: the geometry of submanifolds, hypersurfaces in Riemannian and Lorentzian targets, Ricci solitons, Liouville theorems, uniqueness of solutions of Lichnerowicz-type PDEs and so on. Maximum Principles and Geometric Applications is written in an easy style making it accessible to beginners. The reader is guided with a detailed presentation of some topics of Riemannian geometry that are usually not covered in textbooks. Furthermore, many of the results and even proofs of known results are new and lead to the frontiers of a contemporary and active field of research."@en ;
   schema:description "A crash course in Riemannian geometry -- The Omori-Yau maximum principle -- New forms of the maximum principle -- Sufficient conditions for the validity of the weak maximum principle -- Miscellany results for submanifolds -- Applications to hypersurfaces -- Hypersurfaces in warped products -- Applications to Ricci Solitons -- Spacelike hypersurfaces in Lorentzian spacetimes."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/2922801943> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://worldcat.org/issn/1439-7382> ; # Springer monographs in mathematics,
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/2922801943#Series/springer_monographs_in_mathematics> ; # Springer monographs in mathematics.
   schema:isSimilarTo <http://worldcat.org/entity/work/data/2922801943#CreativeWork/> ;
   schema:name "Maximum principles and geometric applications"@en ;
   schema:productID "939519343" ;
   schema:url <http://link.springer.com/openurl?genre=book&isbn=978-3-319-24335-1> ;
   schema:url <http://er.llcc.edu:2048/login?url=http://link.springer.com/10.1007/978-3-319-24337-5> ;
   schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-319-24335-1> ;
   schema:url <http://sfx.carli.illinois.edu/sfxwhe/sfx_local?genre=book&sid=Voyager:WHE&sfx.ignore_date_threshold=1&svc.fulltext=yes&rft.isbn=978-3-319-24337-5> ;
   schema:url <http://rave.ohiolink.edu/ebooks/ebc/9783319243375> ;
   schema:url <https://login.libproxy.noctrl.edu/login?url=http://link.springer.com/10.1007/978-3-319-24337-5> ;
   schema:url <http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-24337-5> ;
   schema:url <http://dx.doi.org/10.1007/978-3-319-24337-5> ;
   schema:url <https://0-link-springer-com.pugwash.lib.warwick.ac.uk/book/10.1007/978-3-319-24337-5> ;
   schema:url <https://grinnell.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-24337-5> ;
   schema:url <http://link.springer.com/10.1007/978-3-319-24337-5> ;
   schema:url <http://proxy.artic.edu/login?url=http://link.springer.com/10.1007/978-3-319-24337-5> ;
   schema:url <http://ebookcentral.proquest.com/lib/illcencol-ebooks/detail.action?docID=4406563> ;
   schema:url <http://libproxy.uwinnipeg.ca/login?url=http://link.springer.com/10.1007/978-3-319-24337-5> ;
   schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=4406563> ;
   schema:url <http://www.myilibrary.com?id=897301> ;
   schema:url <https://proxy1.library.eiu.edu/login?url=http://link.springer.com/10.1007/978-3-319-24337-5> ;
   schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1171039> ;
   schema:url <http://ebookcentral.proquest.com/lib/macewan-ebooks/detail.action?docID=4406563> ;
   schema:url <https://login.libproxy.uregina.ca:8443/login?url=https://link.springer.com/openurl?genre=book&isbn=978-3-319-24335-1> ;
   schema:url <https://login.proxy.lib.strath.ac.uk/login?url=http://link.springer.com/10.1007/978-3-319-24337-5> ;
   schema:workExample <http://worldcat.org/isbn/9783319243351> ;
   schema:workExample <http://dx.doi.org/10.1007/978-3-319-24337-5> ;
   schema:workExample <http://worldcat.org/isbn/9783319243375> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/939519343> ;
    .


Related Entities

<http://ebookcentral.proquest.com/lib/illcencol-ebooks/detail.action?docID=4406563>
   rdfs:comment "Available for ICC via Ebook Central. Click here to access." ;
    .

<http://ebookcentral.proquest.com/lib/macewan-ebooks/detail.action?docID=4406563>
   rdfs:comment "from Ebook Central" ;
   rdfs:comment "(Single User Access)" ;
    .

<http://experiment.worldcat.org/entity/work/data/2922801943#Person/alias_luis_j> # Luis J. Alías
    a schema:Person ;
   schema:familyName "Alías" ;
   schema:givenName "Luis J." ;
   schema:name "Luis J. Alías" ;
    .

<http://experiment.worldcat.org/entity/work/data/2922801943#Person/mastrolia_paolo> # Paolo Mastrolia
    a schema:Person ;
   schema:familyName "Mastrolia" ;
   schema:givenName "Paolo" ;
   schema:name "Paolo Mastrolia" ;
    .

<http://experiment.worldcat.org/entity/work/data/2922801943#Person/rigoli_marco> # Marco Rigoli
    a schema:Person ;
   schema:familyName "Rigoli" ;
   schema:givenName "Marco" ;
   schema:name "Marco Rigoli" ;
    .

<http://experiment.worldcat.org/entity/work/data/2922801943#Series/springer_monographs_in_mathematics> # Springer monographs in mathematics.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/939519343> ; # Maximum principles and geometric applications
   schema:name "Springer monographs in mathematics." ;
    .

<http://experiment.worldcat.org/entity/work/data/2922801943#Topic/geometry_riemannian> # Geometry, Riemannian
    a schema:Intangible ;
   schema:name "Geometry, Riemannian"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2922801943#Topic/mathematics_calculus> # MATHEMATICS--Calculus
    a schema:Intangible ;
   schema:name "MATHEMATICS--Calculus"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2922801943#Topic/mathematics_mathematical_analysis> # MATHEMATICS--Mathematical Analysis
    a schema:Intangible ;
   schema:name "MATHEMATICS--Mathematical Analysis"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2922801943#Topic/maximum_principles_mathematics> # Maximum principles (Mathematics)
    a schema:Intangible ;
   schema:name "Maximum principles (Mathematics)"@en ;
    .

<http://link.springer.com/openurl?genre=book&isbn=978-3-319-24335-1>
   rdfs:comment "Springer eBooks (Mathematics and Statistics 2016)" ;
    .

<http://worldcat.org/entity/work/data/2922801943#CreativeWork/>
    a schema:CreativeWork ;
   schema:description "Printed edition:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/939519343> ; # Maximum principles and geometric applications
    .

<http://worldcat.org/isbn/9783319243351>
    a schema:ProductModel ;
   schema:isbn "3319243357" ;
   schema:isbn "9783319243351" ;
    .

<http://worldcat.org/isbn/9783319243375>
    a schema:ProductModel ;
   schema:isbn "3319243373" ;
   schema:isbn "9783319243375" ;
    .

<http://worldcat.org/issn/1439-7382> # Springer monographs in mathematics,
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/939519343> ; # Maximum principles and geometric applications
   schema:issn "1439-7382" ;
   schema:name "Springer monographs in mathematics," ;
    .

<https://login.libproxy.uregina.ca:8443/login?url=https://link.springer.com/openurl?genre=book&isbn=978-3-319-24335-1>
   rdfs:comment "Full text available from SpringerLINK ebooks - Mathematics and Statistics (2016)" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.