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.
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ISBN-13
978-1-4612-0081-9 (9781461200819)
DOI
10.1007/978-1-4612-0081-9
Schweitzer Klassifikation
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.
