Perturbation Methods and Semilinear Elliptic Problems on R^n
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Beschreibung
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.
This award-winning monograph addresses perturbation methods in critical point theory. It particularly emphasizes applications such as 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. 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.
Winner of the Ferran Sunyer i Balaguer Prize 2005 Discussion of the abstract tool of perturbation methods in critical point theory in a form not contained in any other book Treatment of various applications often considered different in nature Includes supplementary material: sn.pub/extras
Autor*in
Antonio Ambrosetti
Themen in »Perturbation Methods and Semilinear Elliptic Problems on R^n«
Partial differential equations Perturbation Semilinear elliptic problems compactness differential equation equation geometry partial differential equation