ENGLISH

Perturbation Methods and Semilinear Elliptic Problems on R^N

By Antonio Ambrosetti , Andrea Malchiodi

Book information

Publisher
Birkhäuser
Year
2005
ISBN
3764373210, 9783764373214
LCC
QA377 .A5665 2005
Open Library ID
OL15629038M
Language
english
Format
PDF
Filesize
2 MB (1785685 bytes)
Series
Progress in Mathematics
Edition
1
Pages
187\187
Time added
2011-01-06 10:13:16

Description

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.

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