Perturbation Methods and Semilinear Elliptic Problems on R^n

2006
ISBN: 978-3-7643-7321-4
Verlag: Springer

Buch, Englisch, Band 240, 184 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 465 g

Reihe: Progress in Mathematics

This award-winning monograph addresses perturbation methods in critical point theory. It particularly emphasizes applications such as semilinear elliptic problems on R, bifurcation from the essential spectrum, the prescribed scalar curvature problem, nonlinear Schrödinger equations, and singularly perturbed elliptic problems in domains. Its discussion of the abstract tool of perturbation methods in critical point theory is not available elsewhere. The book was awarded the Ferran Sunyer i Balaguer Prize 2005.

Zielgruppe

Research

Autoren/Hrsg.

Malchiodi, Andrea

Ambrosetti, Antonio

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.