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Nonlinear Analysis and Semilinear Elliptic Problems.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Nonlinear Analysis and Semilinear Elliptic Problems./
作者:	Ambrosetti, Antonio.
其他作者:	Malchiodi, Andrea.
出版者:	Leiden :Cambridge University Press, : 2007.,
面頁冊數:	330 p.
叢書名:	Cambridge Studies in Advanced Mathematics
電子資源:	Click here to view book
ISBN:	9780511268687 (electronic bk.)

Nonlinear Analysis and Semilinear Elliptic Problems.
Ambrosetti, Antonio.

Nonlinear Analysis and Semilinear Elliptic Problems.[electronic resource]. - Leiden :Cambridge University Press,2007. - 330 p. - Cambridge Studies in Advanced Mathematics.

Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 Preliminaries; 1.1 Differential calculus; 1.2 Function spaces; 1.3 Nemitski operators; 1.4 Elliptic equations; PART I Topological methods; 2 A primer on bifurcation theory; 3 Topological degree, I; 4 Topological degree, II: global properties; PART II Variational methods, I; 5 Critical points: extrema; 6 Constrained critical points; 7 Deformations and the Palais–Smale condition; 8 Saddle points and min-max methods; PART III Variational methods, II; 9 Lusternik–Schnirelman theory

Graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511268687 (electronic bk.)Index Terms--Genre/Form:

554714
Electronic books.

LC Class. No.: QA372 . / A44 2007

Dewey Class. No.: 515.3533

Nonlinear Analysis and Semilinear Elliptic Problems.
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505 8 $a 10 Critical points of even functionals on symmetric manifolds11 Further results on elliptic Dirichlet problems; 12 Morse theory; PART IV Appendices; Appendix 1 Qualitative results; Appendix 2 The concentration compactness principle; Appendix 3 Bifurcation for problems on Rn; Appendix 4 Vortex rings in an ideal fluid; Appendix 5 Perturbation methods; Appendix 6 Some problems arising in differential geometry; References; Index
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