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...
| Основен автор: | Druet, Olivier, 1976- |
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| Други автори: | Hebey, Emmanuel, 1964-, Robert, Frederic, 1974- |
| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Princeton, N.J. :
Princeton University Press,
℗♭2004.
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| Серия: |
Mathematical notes (Princeton University Press)
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| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=273121 |
| Подобни документи: |
Print version::
Blow-up theory for elliptic PDEs in Riemannian geometry. |
| Резюме: |
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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| Физически характеристики: |
1 online resource (viii, 218 pages). |
| Библиография: |
Includes bibliographical references (pages 213-218). |
| ISBN: |
9781400826162 1400826160 |