The Resource Blowup Theory for Elliptic PDEs in Riemannian Geometry (MN45), Druet, Olivier, (electronic resource)
Blowup Theory for Elliptic PDEs in Riemannian Geometry (MN45), Druet, Olivier, (electronic resource)
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The item Blowup Theory for Elliptic PDEs in Riemannian Geometry (MN45), Druet, Olivier, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Waubonsee Community College.This item is available to borrow from 1 library branch.
Resource Information
The item Blowup Theory for Elliptic PDEs in Riemannian Geometry (MN45), Druet, Olivier, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Waubonsee Community College.
This item is available to borrow from 1 library branch.
 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 wellknown 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 equationa finite sum of bubblesand 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 blowup. In this book, the authors develop the pointwise theory for blowup. 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 selfcontained as possible, this accessible book will interest graduate students and researchers in a range of mathematical fields
 Language

 eng
 eng
 Edition
 1st edition
 Extent
 224 p.
 Label
 Blowup Theory for Elliptic PDEs in Riemannian Geometry (MN45)
 Title
 Blowup Theory for Elliptic PDEs in Riemannian Geometry (MN45)
 Statement of responsibility
 Druet, Olivier
 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 wellknown 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 equationa finite sum of bubblesand 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 blowup. In this book, the authors develop the pointwise theory for blowup. 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 selfcontained 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
 Blowup Theory for Elliptic PDEs in Riemannian Geometry (MN45), Druet, Olivier, (electronic resource)
 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
 Blowup Theory for Elliptic PDEs in Riemannian Geometry (MN45), Druet, Olivier, (electronic resource)
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.waubonsee.edu/portal/BlowupTheoryforEllipticPDEsinRiemannian/lT1weEmQXPY/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.waubonsee.edu/portal/BlowupTheoryforEllipticPDEsinRiemannian/lT1weEmQXPY/">Blowup Theory for Elliptic PDEs in Riemannian Geometry (MN45), Druet, Olivier, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.waubonsee.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.waubonsee.edu/">Waubonsee Community College</a></span></span></span></span></div>