Variational and topological methods in the study of nonlinear phenomena

✍ Scribed by V. Benci, G. Cerami, M. Degiovanni, D. Fortunato, F. Giannoni, A.M. Micheletti

• Publisher: Birkhäuser Boston
• Year: 2002
• Tongue: English
• Leaves: 145
• Series: Progress in Nonlinear Differential Equations and Their Applications
• Edition: 1
• Category: Library

✦ Synopsis

This volume covers recent advances in the field of nonlinear functional analysis and its applications to nonlinear partial and ordinary differential equations, with particular emphasis on variational and topological methods. A broad range of topics is covered, including: * concentration phenomena in pdes * variational methods with applications to pdes and physics * periodic solutions of odes * computational aspects in topological methods * mathematical models in biology Though well-differentiated, the topics covered are unified through a common perspective and approach. Unique to the work are several chapters on computational aspects and applications to biology, not usually found with such basic studies on pdes and odes. The volume will be an excellent reference text for researchers and graduate students in the above mentioned fields. Contributors: M. Clapp, M. Del Pino, M. Esteban, P. Felmer, A. Ioffe, W. Marzantowicz, M. Mrozek, M. Musso, R. Ortega, P. Pilarczyk, E. Sere, P. Sintzoff, R. Turner , M. Willem

✦ Table of Contents

Front Cover......Page 1
Title......Page 4
Copyright......Page 5
Contents......Page 6
Preface......Page 8
Morse Indices at Mountain Pass Orbits of Symmetric Functionals by M. Clapp......Page 10
On Some Linear and Nonlinear Eigenvalue Problems in Relativistic Quantum Chemistry by M. J. Esteban and E. Sere ......Page 24
Convexity at Infinity and Palais-Smale Conditions. Applications to Hamiltonian Systems by A. loffe and E. Schwartzman.......Page 38
Periodic Solutions of Nonlinear Problems with Positive Oriented Periodic Coefficients by W. Marzantowicz ......Page 52
The Conley Index and Rigorous Numerics for Attracting Periodic Orbits by M. Mrozek and P. Pilarczyk ......Page 74
Dynamics of a Forced Oscillator having an Obstacle by R. Ortega ......Page 84
Spike Patterns in the Super-Critical Bahri-Coron Problem by M. del Pino, P. Felmer, and M. Musso......Page 98
A Semilinear Elliptic Equation on RN with Unbounded Coefficients by P. Sintzoff and M. Willem......Page 114
Raveling Waves in Natural Systems by R.E.L.Turner......Page 124
Back Cover......Page 145