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Perturbation Methods and Semilinear Elliptic Problems on R^n

✍ Scribed by Antonio Ambrosetti, Andrea Malchiodi

Publisher
Birkhäuser Boston
Year
2005
Tongue
English
Leaves
186
Series
Progress in Mathematics 240
Edition
1
Category
Library
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✦ Synopsis

This book has been awarded the Ferran Sunyer i Balaguer 2005 prize. 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.

📜 SIMILAR VOLUMES

Perturbation Methods and Semilinear Elli
📁 Perturbation Methods and Semilinear Elliptic Problems on R^N
✍ Antonio Ambrosetti, Andrea Malchiodi 📂 Library 📅 2005 🏛 Birkhäuser 🌐 English

<P>This book has been awarded the Ferran Sunyer i Balaguer 2005 prize.</P> <P>The aim of this monograph is to discuss several elliptic problems on R<SUP>n</SUP> with two main features:  they are variational and perturbative in nature, and standard tools of nonlinear analysis based on compactness ar

Perturbation Methods and Semilinear Elli
📁 Perturbation Methods and Semilinear Elliptic Problems on R n
✍ Antonio Ambrosetti, Andrea Malchiodi (auth.) 📂 Library 📅 2006 🏛 Birkhäuser Basel 🌐 English

<p><P>The aim of this monograph is to discuss several elliptic problems on R<SUP>n</SUP> 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 app

Perturbation Methods and Semilinear Elli
📁 Perturbation Methods and Semilinear Elliptic Problems on R^n
✍ Antonio Ambrosetti, Andrea Malchiodi 📂 Library 📅 2006 🏛 Birkhauser 🌐 English

This book has been awarded the Ferran Sunyer i Balaguer 2005 prize. 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

Perturbation Methods and Semilinear Elli
📁 Perturbation Methods and Semilinear Elliptic Problems on R^n
✍ Antonio Ambrosetti, Andrea Malchiodi 📂 Library 📅 2005 🏛 Birkhäuser 🌐 English

<span>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 to

Perturbation Methods and Semilinear Elli
📁 Perturbation Methods and Semilinear Elliptic Problems on R^n
✍ Antonio Ambrosetti, Andrea Malchiodi 📂 Library 📅 2005 🏛 Birkhäuser Basel 🌐 English

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

Perturbation Methods and Semilinear Elli
📁 Perturbation Methods and Semilinear Elliptic Problems on Rn
✍ Antonio Ambrosetti, Andrea Malchiodi 📂 Library 📅 2005 🏛 Birkhäuser Basel 🌐 English

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 a