Variational and Topological Methods in the Study of Nonlinear Phenomena [Hardcover]

Morse Indices at Mountain Pass Orbits of Symmetric Functionals.- On Some Linear and Nonlinear Eigenvalue Problems in Relativistic Quantum Chemistry.- Convexity at Infinity and PalaisSmale 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 BahriCoron Problem.- A Semilinear Elliptic Equation on N with Unbounded Coefficients.- Traveling Waves in Natural Systems.Covers recent advances in the field of nonlinear functional analysis and its applications to nonlinear pdes and odes, with particular emphasis on variational and topological methods. Topics covered include: * 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. Unique to the work are several chapters on computational aspects and applications to biology. Excellent reference text for researchers and graduate students in nonlinear analysis.