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Blow-up theory for elliptic PDEs in Riemannian geometry /

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 Schrodinger operators on the left hand sid...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Druet, Olivier, 1976-
Otros Autores: Hebey, Emmanuel, 1964-, Robert, Frédéric, 1974-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, N.J. : Princeton University Press, ©2004.
Colección:Mathematical notes (Princeton University Press)
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Druet, Olivier,  |d 1976-  |1 https://id.oclc.org/worldcat/entity/E39PBJg4jYfCFMXxR6WW8CV6Kd 
245 1 0 |a Blow-up theory for elliptic PDEs in Riemannian geometry /  |c Olivier Druet, Emmanuel Hebey, Frédéric Robert. 
260 |a Princeton, N.J. :  |b Princeton University Press,  |c ©2004. 
300 |a 1 online resource (viii, 218 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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347 |a data file 
490 1 |a Mathematical notes 
504 |a Includes bibliographical references (pages 213-218). 
520 |a 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 Schrodinger 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 s. 
588 0 |a Print version record. 
546 |a In English. 
505 0 |a Preface; Chapter 1. Background Material; Chapter 2. The Model Equations; Chapter 3. Blow-up Theory in Sobolev Spaces; Chapter 4. Exhaustion and Weak Pointwise Estimates; Chapter 5. Asymptotics When the Energy Is of Minimal Type; Chapter 6. Asymptotics When the Energy Is Arbitrary; Appendix A. The Green's Function on Compact Manifolds; Appendix B. Coercivity Is a Necessary Condition; Bibliography 
590 |a JSTOR  |b Books at JSTOR Demand Driven Acquisitions (DDA) 
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590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Calculus of variations. 
650 0 |a Differential equations, Nonlinear. 
650 0 |a Geometry, Riemannian. 
650 6 |a Calcul des variations. 
650 6 |a Équations différentielles non linéaires. 
650 6 |a Géométrie de Riemann. 
650 7 |a MATHEMATICS  |x Differential Equations  |x Partial.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Calculus of variations  |2 fast 
650 7 |a Differential equations, Nonlinear  |2 fast 
650 7 |a Geometry, Riemannian  |2 fast 
650 1 7 |a Riemann-metriek.  |2 gtt 
650 1 7 |a Variatierekening.  |2 gtt 
650 1 7 |a Differentiaalvergelijkingen.  |2 gtt 
700 1 |a Hebey, Emmanuel,  |d 1964-  |1 https://id.oclc.org/worldcat/entity/E39PCjCfpcvgRKMBwvd7cgj3Hy 
700 1 |a Robert, Frédéric,  |d 1974-  |1 https://id.oclc.org/worldcat/entity/E39PCjrtrDYph43KPjqBrjjCFC 
758 |i has work:  |a Blow-up theory for elliptic PDEs in Riemannian geometry (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGWVwyYqJtMTD8whBbMmq3  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Druet, Olivier, 1976-  |t Blow-up theory for elliptic PDEs in Riemannian geometry.  |d Princeton, N.J. : Princeton University Press, ©2004  |z 0691119538  |z 9780691119533  |w (DLC) 2003064801  |w (OCoLC)53485152 
830 0 |a Mathematical notes (Princeton University Press) 
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