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Perturbation Methods and Semilinear Elliptic Problems on R^n (Progress in Mathematics, 240) - Hardcover
Synopsis
Several important problems arising in Physics, Di?erential Geometry and other n topics lead to consider semilinear variational elliptic equations on R and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies on the fact that the tools of Nonlinear Functional Analysis, based on compactness arguments, in general cannot be used, at least in a straightforward way, and...
From the Back Cover
The aim of this monograph is to discuss several elliptic problems on Rn with two main features: they are variational and perturbative in nature, and standard tools of nonlinear analysis based on compactness arguments cannot be used in general. For these problems, a more specific approach that takes advantage of such a perturbative setting seems to be the most appropriate. The first part of the book is...
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- PublisherBirkhäuser
- Publication date2005
- ISBN 10 3764373210
- ISBN 13 9783764373214
- BindingHardcover
- LanguageEnglish
- Number of pages196
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Perturbation Methods and Semilinear Elliptic Problems on R^n
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Springer, Basel, Birkhäuser Basel, Birkhäuser Nov 2005, 2005
ISBN 10: 3764373210
ISBN 13: 9783764373214
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Several important problems arising in Physics, Di erential Geometry and other n topics lead to consider semilinear variational elliptic equations on R and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies on the fact that the tools of Nonlinear Functional Analysis, based on compactness arguments, in general cannot be used, at least in a straightforward way, and some new techniques have to be developed. n On the other hand, there are several elliptic problems on R which are p- turbative in nature. In some cases there is a natural perturbation parameter, like inthe bifurcationfromthe essentialspectrum orinsingularlyperturbed equations or in the study of semiclassical standing waves for NLS. In some other circ- stances, one studies perturbations either because this is the rst step to obtain global results or else because it often provides a correct perspective for further global studies. For these perturbation problems a speci c approach,that takes advantage of such a perturbative setting, seems the most appropriate. These abstract tools are provided by perturbation methods in critical point theory. Actually, it turns out that such a framework can be used to handle a large variety of equations, usually considered di erent in nature. Theaimofthismonographistodiscusstheseabstractmethodstogetherwith their applications to several perturbation problems, whose common feature is to n involve semilinear Elliptic Partial Di erential Equations on R with a variational structure. 184 pp. Englisch. Seller Inventory # 9783764373214
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