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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Detalles Bibliográficos
Autor principal: Ambrosetti, Antonio (-)
Autor Corporativo: SpringerLink (-)
Otros Autores: Malchiodi, Andrea
Formato: Libro electrónico
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel 2006.
Colección:Progress in Mathematics ; 240.
Springer eBooks.
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b32748607*spi
Descripción
Sumario: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.
Descripción Física:XII, 184 p.
Formato:Forma de acceso: World Wide Web.
ISBN:9783764373962