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Variational and topological methods in the study of nonlinear phenomena
1 online resource (131 pages) : illustrations.
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.
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 and E. Séré -- Convexity at infinity and Palais-Smale conditions, applications to Hamiltonian systems / A. Ioffe and 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 and 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, and M. Musso -- A semilinear elliptic equation on R[superscript]N with unbounded coefficients / P. Sintzoff and M. Willem -- Traveling waves in natural systems / R.E.L. Turner.
"The articles in the volume are an outgrowth of an international conference entitled "Variational and Topological Methods in the Study of Nonlinear Phenomena", held in Pisa in January-February 2000"--Preface.
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Progress in nonlinear differential equations and their applications ; v. 49