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Nonlinear Analysis and Semilinear El...
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Malchiodi, Andrea.
Nonlinear Analysis and Semilinear Elliptic Problems.
紀錄類型:
書目-電子資源 : 單行本
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–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: 9780511618260 (electronic bk.)Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA372 . / A44 2007
Dewey Class. No.: 515.3533
Nonlinear Analysis and Semilinear Elliptic Problems.
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2007.
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Cambridge University Press,
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330 p.
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Cambridge Studies in Advanced Mathematics
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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
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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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Graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations.
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Available via World Wide Web.
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Click here to view book
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511618260
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