Perturbation methods and semilinear elliptic problems on Rn [Documento eletrónico] / Antonio Ambrosetti, Andrea Malchiodi
Language: eng.Country: US - United States of America.Publication: Basel : Birkhäuser , 2006Description: XII, 184 p.ISBN: 978-3-7643-7396-2.Series: Progress in Mathematics, 240Subject - Topical Name: Equações diferenciais elípticas | Perturbação (Matemática) | Problemas de valor limite Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA377.SPR. FCT 94808 (Browse shelf(Opens below)) | 1 | Available |
Colocação: Online
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.
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