Perturbation methods and semilinear elliptic problems on Rn

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...

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Bibliografiske detaljer
Auteurs principaux: Ambrosetti, Antonio, 1944-2020, Malchiodi, Andrea, 1972-...., mathématicien (Auteur)
Format: Livre numérique
Sprog:Anglais
Udgivet: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Udgivelse:1st ed. 2006.
Serier:Progress in Mathematics 240
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Kommentar: Description d'après consultation du 15 avril 2011
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Edition sous un autre format:• Perturbation methods and semilinear elliptic problems on Rn, Antonio Ambrosetti, Andrea Malchiodi, Basel, Birkhäuser, 2006, 1 vol. (IX-183 p.), Progress in mathematics, 3-7643-7321-0
Beskrivelse
Summary: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 unified way
Emne beskrivelse:Description d'après consultation du 15 avril 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:3764373962
9783764373962
ISSN:2296-505X
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