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<図書>
Singular elliptic problems : bifurcation and asymptotic analysis

責任表示 Marius Ghergu, Vicenţiu D. Rădulescu
シリーズ Oxford lecture series in mathematics and its applications ; 37
データ種別 図書
出版者 Oxford : Clarendon Press
出版者 Oxford, New York : Oxford University Press
出版年 2008
本文言語 英語
大きさ xvi, 298 p. : ill. ; 25 cm
概要 Singular Elliptic Problems provides a comprehensive introduction to the mathematical theory of nonlinear problems described by singular elliptic equations. The book is an elementary introduction to no...linear elliptic partial differential equations, which arise in the research of various nonlinear and singular phenomena within mathematical physics. Interest in this direction of research relates to the application of these problems in physics, quantum physics, mechanics, genetics, engineering, economics, and differential geometry. The book lies at the interface between nonlinear analysis, mathematical physics, and variational calculus and is intended for graduate students, post-graduate students, and researchers in PDE and Pure and Applied Mathematics. It is the first monograph treating such nonlinear singular problems and develops two basic methods in nonlinear functional analysis: the maximum principle and critical point theorems. Some of the singular phenomena described in this book include existence (or nonexistence) of solutions, unicity or multiplicity problems, bifurcation and asymptotic analysis, and optimal regularity. Book jacket.続きを見る

所蔵情報


理系図3F 数理独自 023212008001100 GHER/5/1 2008

書誌詳細

一般注記 Includes bibliographical references (p. [283]-294) and index
著者標目 *Ghergu, Marius
Rădulescu, Vicenţiu D.
件 名 LCSH:Differential equations, Elliptic -- Asymptotic theory  全ての件名で検索
LCSH:Differential equations, Nonlinear
LCSH:Bifurcation theory
分 類 LCC:QA377
DC22:515/.3533
書誌ID 1001228686
ISBN 9780195334722
NCID BA85934311
巻冊次 ISBN:9780195334722
登録日 2009.09.18
更新日 2009.11.02

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