Perturbation Methods and Semilinear Elliptic Problems on Rn

• Main Authors: Ambrosetti, Antonio (Author), Malchiodi, Andrea (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2006.
• Series: Progress in Mathematics ; 240
• Subjects: Mathematics.; Functional analysis.; Partial differential equations.; Numerical analysis.; Numerical Analysis.; Partial Differential Equations.; Functional Analysis.

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...

Table of Contents:

• Examples and Motivations
• Pertubation in Critical Point Theory
• Bifurcation from the Essential Spectrum
• Elliptic Problems on ?n with Subcritical Growth
• Elliptic Problems with Critical Exponent
• The Yamabe Problem
• Other Problems in Conformal Geometry
• Nonlinear Schrödinger Equations
• Singularly Perturbed Neumann Problems
• Concentration at Spheres for Radial Problems.