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Perturbation Methods and Semilinear Elliptic Problems on R^n / by Antonio Ambrosetti, Andrea Malchiodi
(Progress in Mathematics. ISSN:2296505X ; 240)
版 | 1st ed. 2006. |
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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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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783764373962 |
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EB00233125 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA297-299.4 DC23:518 |
書誌ID | 4000119125 |
ISBN | 9783764373962 |
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