Progress in Mathematics

Perturbation Methods and Semilinear Elliptic Problems on R^n

Authors: Ambrosetti, Antonio, Malchiodi, Andrea

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About this book

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.

Table of contents (1 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-7643-7396-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-3-7643-7321-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Perturbation Methods and Semilinear Elliptic Problems on R^n
Authors
Series Title
Progress in Mathematics
Series Volume
240
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7396-2
DOI
10.1007/3-7643-7396-2
Hardcover ISBN
978-3-7643-7321-4
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XII, 184
Topics