Variational and Topological Methods in the Study of Nonlinear Phenomena

by V. Benci (Editor), G. Cerami (Editor), M. Degiovanni (Editor), D. Fortunato (Editor), F. Giannoni (Editor)

Overview

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 is an excellent reference text for researchers and graduate students in the above mentioned fields. Contributors: M. Clapp, M. Del Pino, M.J. Esteban, P. Felmer, A. Ioffe, W. Marzantowicz, M. Mrozek, M. Musso, R. Ortega, P. Pilarczyk, E. Séré, E. Schwartzman, P. Sintzoff, R. Turner , M. Willem

Product Details

ISBN-13:	9781461266044
Publisher:	Birkhäuser Boston
Publication date:	10/30/2012
Series:	Progress in Nonlinear Differential Equations and Their Applications , #49
Edition description:	Softcover reprint of the original 1st ed. 2002
Pages:	134
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

Morse Indices at Mountain Pass Orbits of Symmetric Functionals.- On Some Linear and Nonlinear Eigenvalue Problems in Relativistic Quantum Chemistry.- Convexity at Infinity and Palais—Smale Conditions. Applications to Hamiltonian Systems.- Periodic Solutions of Nonlinear Problems with Positive Oriented Periodic Coefficients.- The Conley Index and Rigorous Numerics for Attracting Periodic Orbits.- Dynamics of a Forced Oscillator having an Obstacle.- Spike Patterns in the Super-Critical Bahri—Coron Problem.- A Semilinear Elliptic Equation on N with Unbounded Coefficients.- Traveling Waves in Natural Systems.