Nonlinear Analysis and Semilinear Elliptic Problems. [electronic resource].

• 作者： Ambrosetti, Antonio.
• 其他作者：
  • Malchiodi, Andrea.
  • Ebooks Corporation.
• 出版： Leiden : Cambridge University Press
• 叢書名： Cambridge studies in advanced mathematics
• 主題： Electronic books.
• ISBN： 9780511268687 (electronic bk.) 、 9780521863209 (print)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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 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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• 摘要註: Graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations.
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