The Resource Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45), Druet, Olivier, (electronic resource)

Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45), Druet, Olivier, (electronic resource)

Label
Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45)
Title
Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45)
Statement of responsibility
Druet, Olivier
Creator
Contributor
Author
Subject
Genre
Language
  • eng
  • eng
Summary
Elliptic equations of critical Sobolev growth have been the target of investigation for decades because they have proved to be of great importance in analysis, geometry, and physics. The equations studied here are of the well-known Yamabe type. They involve Schrödinger operators on the left hand side and a critical nonlinearity on the right hand side. A significant development in the study of such equations occurred in the 1980s. It was discovered that the sequence splits into a solution of the limit equation--a finite sum of bubbles--and a rest that converges strongly to zero in the Sobolev space consisting of square integrable functions whose gradient is also square integrable. This splitting is known as the integral theory for blow-up. In this book, the authors develop the pointwise theory for blow-up. They introduce new ideas and methods that lead to sharp pointwise estimates. These estimates have important applications when dealing with sharp constant problems (a case where the energy is minimal) and compactness results (a case where the energy is arbitrarily large). The authors carefully and thoroughly describe pointwise behavior when the energy is arbitrary. Intended to be as self-contained as possible, this accessible book will interest graduate students and researchers in a range of mathematical fields
http://library.link/vocab/creatorName
Druet, Olivier
Nature of contents
standards specifications
http://library.link/vocab/relatedWorkOrContributorName
  • Hebey, Emmanuel
  • Robert, Frédéric
  • Safari, an O'Reilly Media Company
http://library.link/vocab/subjectName
  • Mathematics
  • Science
Label
Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45), Druet, Olivier, (electronic resource)
Link
https://www.safaribooksonline.com/library/view/-/9781400826162/?ar
Instantiates
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Edition
1st edition
Extent
224 p.
Form of item
online
Issuing body
Made available through: Safari, an O'Reilly Media Company.
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9781400826162
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
  • (Sirsi) a275999
  • (Safari)9781400826162
System details
Mode of access: World Wide Web
Label
Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45), Druet, Olivier, (electronic resource)
Link
https://www.safaribooksonline.com/library/view/-/9781400826162/?ar
Publication
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Dimensions
unknown
Edition
1st edition
Extent
224 p.
Form of item
online
Issuing body
Made available through: Safari, an O'Reilly Media Company.
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
9781400826162
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
  • (Sirsi) a275999
  • (Safari)9781400826162
System details
Mode of access: World Wide Web

Library Locations

    • Waubonsee: Sugar Grove Campus - Todd LibraryBorrow it
      Collins Hall 2nd Floor Waubonsee Community College Route 47 at Waubonsee Drive, Sugar Grove, IL, 60554-9454, US
      41.7974 -88.45785
Processing Feedback ...