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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, N.J. :
Princeton University Press,
©2004.
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| Colección: | Mathematical notes (Princeton University Press)
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| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (viii, 218 pages) |
| Bibliografía: | Includes bibliographical references (pages 213-218). |
| ISBN: | 9781400826162 1400826160 1282087231 9781282087231 1282935372 9781282935372 9786612935374 6612935375 9786612087233 6612087234 |