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Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45)
Olivier Druet
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Description for Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45)
Paperback. This work develops critical new ideas and methods for the analysis of elliptic PDEs on compact Riemannian manifolds, especially in the framework of the Yamabe equation, critical Sobolev embedding and blow-up techniques (asymptotic analysis). Series: Mathematical Notes. Num Pages: 224 pages, black & white illustrations. BIC Classification: PBKJ; PBMP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 16. Weight in Grams: 314.
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 space consisting of ... Read more
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 space consisting of ... Read more
Product Details
Format
Paperback
Publication date
2004
Publisher
Princeton University Press United States
Number of pages
240
Condition
New
Series
Mathematical Notes
Number of Pages
224
Place of Publication
New Jersey, United States
ISBN
9780691119533
SKU
V9780691119533
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Olivier Druet
Olivier Druet is Researcher at CNRS, Ecole Normale Superieure de Lyon. Emmanuel Hebey is Professor at Universite de Cergy-Pontoise. Frederic Robert is Associate Professor at Universite de Nice Sophia-Antipolis.
Reviews for Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45)
"This is an important and original work. It develops critical new ideas and methods for the analysis of elliptic PDEs on compact manifolds, especially in the framework of the Yamabe equation, critical Sobolev embedding, and blow-up techniques. This volume will have an important influence on current research."—William Beckner, University of Texas at Austin