Morse Theory, Minimax Theory and their Applications to Nonlinear Differential Equations

 

 

Price: $48

ISBN: 1-57146-109-4

Binding: Hardcover

Page Number: 286

Year Published: 2003

 

Based on lectures held at the Morningside Center of Mathematics, at the Chinese Academy of Sciences, Beijing from April 1st to September 30th, 1999. This volume cotains both survey and creative papers dealing with Morse Theory, Minimax theory, Iteration theory of Maslov-type index and critical minimization problems.

 

The book particularly emphasizes applications to nonlinear differential equations including semilinear elliptic boundry problems, P-Laplacian systems, periodic, homoclinic and hereoclinic orbits of Hamiltonian systems and symplectic geometry.

 

 

Table of Contents

 

  • Preface

 

  • The Difference of Topology at Infinity for the Case of Two Masses in Changing Sign Yamabe Problems on S3 – Abbas Bahri & Sagun Chanillo

 

  • Linking, Positive Invariance and Localization of Critical Points – Thomas Bartsch

 

  • Is There Failure of the Inverse Function Theorem? – Haim Brezis

 

  • Blow-up of Solutions of Nonlinear Parabolic Problems – Chao-Nien Chen

 

  • Variational Problems Which are Nonquadratic at Infinity – David G Costa

 

  • Homoclinic Orbits of Hamiltonian Systems, Yanheng Ding

 

  • Self-adjointness of Hamiltonian Operator and Some Problems in Symplectic Geometry – Mei-Yue Jiang

 

  • Dirichlet Problem of p-Laplacian with Nonlinear Term f(x, u) ~u p-1 at Infinity – Gongbao Li & Huan-Song Zhou

 

  • Some Advances in Morse Theory and Minimax Theory – Shujie Li

 

  • On a Class of Elliptic Eigenvalue Problems with Constraint – Yongqing Li

 

  • Iteration Theory of Maslov-type Index and its Applications – Chungen Liu

 

  • Number of Invariant Sets of Descending Flow with Applications in Critical Point Theory – Zhaoli Liu and Jingxian Sun

 

  • The Maslov-type Index and its Iteration Theory with Applications to Hamiltonian Systems – Yiming Long

 

  • The Spectrum of p-Laplacian Systems under Dirichlet, Neumann and Periodic Boundary Conditions – Raul Manasevich and Jean Mawhin

 

  • A Note on Hamiltonian Systems of Multiple Pendulum Type – Paul H. Rabinowitz

 

  • Nontrivial Critical Points for Asymptotically Quadratic Functional at Resonance – Jiabao Su

 

  • Positive Solutions Having Prescribed Symmetry for Nonlinear Elliptic Problems – Zhi-Qiang Wang

 

  • A Decomposition Lemma and Critical Minimization Problems – Michel Willem

 

  • The Effect of Sublinear Term at Origin in Some Elliptic Problems – Shaoping Wu

 

  • Positive Mass Theorem for Modified Energy Condition – Xiao Zhang