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Riassunto: 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.
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 devoted to these abstract tools, which provide a unified frame for several applications, often considered different in nature.
Such applications are discussed in the second part, and include semilinear elliptic
problems on Rn, bifurcation from the essential spectrum, the prescribed scalar
curvature problem, nonlinear Schrödinger equations, and singularly perturbed
elliptic problems in domains. These topics are presented in a systematic and
Titolo: Perturbation Methods And Semilinear Elliptic...
Casa editrice: Springer Verlag
Data di pubblicazione: 2005
Condizione libro: New
Descrizione libro Basel, Birkhäuser, 2006., 2006. Progress in Mathematics, Vol. 240. XII, 183 p, Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Codice libro della libreria 27935AB
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Descrizione libro Springer. Condizione libro: New. pp. ix + 183 This item is printed on Demand. Codice libro della libreria 7543385
Descrizione libro Birkh?user, 2005. Hardcover. Condizione libro: New. 2006. Codice libro della libreria DADAX3764373210
Descrizione libro Condizione libro: Brand New. HARDCOVER, Book Condition New, U.S. EDITION. We Do not Ship APO FPO AND PO BOX. . Printing in English language.NO CD AND ACCESS CODE. Quick delivery by USPS/UPS/DHL/FEDEX/ARAMEX ,Customer satisfaction guaranteed. We may ship the books from Asian regions for inventory purpose. Codice libro della libreria ABE ORG##CB11301
Descrizione libro Birkhäuser, 2017. Hardcover. Condizione libro: New. Never used! This item is printed on demand. Codice libro della libreria P113764373210