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＜電子ブック＞
Perturbation Methods and Semilinear Elliptic Problems on R^n / by Antonio Ambrosetti, Andrea Malchiodi
(Progress in Mathematics. ISSN:2296505X ; 240)

版	1st ed. 2006.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2006
本文言語	英語
大きさ	XII, 184 p : online resource
著者標目	*Ambrosetti, Antonio author Malchiodi, Andrea author SpringerLink (Online service)
件　名	LCSH:Numerical analysis LCSH:Differential equations LCSH:Functional analysis FREE:Numerical Analysis FREE:Differential Equations FREE:Functional Analysis
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/3-7643-7396-2

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