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V. Benci, G. Cerami, M. Degiovanni, D. Fortunato, F. Giannoni, A.M. Micheletti " (Progress in Nonlinear Differential Equations and Their Applications)"

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

Contents

Preface

Morse Indices at Mountain Pass Orbits of Symmetric Functionals by M. Clapp 1

On Some Linear and Nonlinear Eigenvalue Problems in Relativistic Quantum Chemistry by M. J. Esteban and E. Sere 15

Convexity at Infinity and Palais-Smale Conditions. Applications to Hamiltonian Systems by A. loffe and E. Schwartzman. 29

Periodic Solutions of Nonlinear Problems with Positive Oriented Periodic Coefficients by W. Marzantowicz 43

The Conley Index and Rigorous Numerics for Attracting Periodic Orbits by M. Mrozek and P. Pilarczyk 65

Dynamics of a Forced Oscillator having an Obstacle by R. Ortega 75

Spike Patterns in the Super-Critical Bahri-Coron Problem by M. del Pino, P. Felmer, and M. Musso 89

A Semilinear Elliptic Equation on RN with Unbounded Coefficients by P. Sintzoff and M. Willem 105

Raveling Waves in Natural Systems by R.E.L.Turner 115

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