Variational And Topological Methods In The Study Of Nonlinear Phenomena 2002 Edition

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BIRKHAUSER Variational And Topological Methods In The Study Of Nonlinear Phenomena 2002 Edition by V. Benci G. Cerami M. Degiovanni D. Fortunato F. Giannoni A.M. Micheletti

The articles in this volume are an outgrowth of an international conference entitled Variational and Topological Methods in the Study of Nonlinear Phe- nomena held in Pisa in January-February 2000. Under the framework of the research project Differential Equations and the Calculus of Variations the conference was organized to celebrate the 60th birthday of Antonio Marino one of the leaders of the research group and a significant contrib- utor to the mathematical activity in this area of nonlinear analysis. The volume highlights 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 meth- ods. A broad range of topics is covered including: concentration phenomena in PDEs variational methods with applications to PDEs and physics pe- riodic solutions of ODEs computational aspects in topological methods and mathematical models in biology. Though well-differentiated the topics covered are unified through a com- mon 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 is an excellent reference text for researchers and graduate students in the above mentioned fields. Contributors are M. Clapp M.J. Esteban P. Felmer A. Ioffe W. Marzan- towicz M. Mrozek M. Musso R. Ortega P. Pilarczyk M. del Pino E. Sere E. Schwartzman P. Sintzoff R. Turner and I\f. Willem. Table of contents : Preface * Morse Indices at Mountain Pass Orbits of Symmetric Functionals / M. Clapp * On Some Linear and Nonlinear Eigenvalue Problems in Relativistic Quantum Chemistry * M. J. Esteban & E. Sere * Convexity at Infinity and Palais--Smale Conditions: Applications to Hamiltonian Systems / A. Ioffe & E. Schwartzman * Periodic Solutions of Nonlinear Problems with Positive Oriented Periodic Coefficients / W. Marzantowicz * The Conley Index and Rigorous Numerics for Attracting Periodic Orbits / M. Mrozek & P. Pilarczyk * Dynamics of a Forced Oscillator having an Obstacle * R. Ortega * Spike Patterns in the Super-Critical Bahri--Coron Problem / M. del Pino P. Felmer & M. Musso * A Semilinear Elliptic Equation on R^N with Unbounded Coefficients / P. Sintzoff & M. Willem * Traveling Waves in Natural Systems / R.E.L. Turner *