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Nonlinear Analysis and Semilinear El...

Ambrosetti, Antonio.

Nonlinear Analysis and Semilinear Elliptic Problems.

紀錄類型:	書目-電子資源 : 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:	9780511618260 (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��male condition; 8 Saddle points and min-max methods; PART III Variational methods, II; 9 Lusternik��chnirelman 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: 9780511618260 (electronic bk.)Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA372 . / A44 2007

Dewey Class. No.: 515.3533

Nonlinear Analysis and Semilinear Elliptic Problems.
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245 1 0 $a Nonlinear Analysis and Semilinear Elliptic Problems. $h [electronic resource].
260 $a Leiden : $b Cambridge University Press, $c 2007.
300 $a 330 p.
440 0 $a Cambridge Studies in Advanced Mathematics
505 0 $a 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��male condition; 8 Saddle points and min-max methods; PART III Variational methods, II; 9 Lusternik��chnirelman theory
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
520 $a Graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
655 7 $a Electronic books. $2 local. $3 214472
700 1 $a Malchiodi, Andrea. $3 261514
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