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Topological Nonlinear Analysis - Degree, Singularity, and Variations (Paperback, Softcover reprint of the original 1st ed. 1995)
Loot Price: R1,541
Discovery Miles 15 410
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Topological Nonlinear Analysis - Degree, Singularity, and Variations (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: Progress in Nonlinear Differential Equations and Their Applications, 15
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Total price: R1,561
Discovery Miles: 15 610
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Topological tools in Nonlinear Analysis had a tremendous develop
ment during the last few decades. The three main streams of
research in this field, Topological Degree, Singularity Theory and
Variational Meth ods, have lately become impetuous rivers of
scientific investigation. The process is still going on and the
achievements in this area are spectacular. A most promising and
rapidly developing field of research is the study of the role that
symmetries play in nonlinear problems. Symmetries appear in a quite
natural way in many problems in physics and in differential or
symplectic geometry, such as closed orbits for autonomous
Hamiltonian systems, configurations of symmetric elastic plates
under pressure, Hopf Bifurcation, Taylor vortices, convective
motions of fluids, oscillations of chemical reactions, etc . . .
Some of these problems have been tackled recently by different
techniques using equivariant versions of Degree, Singularity and
Variations. The main purpose of the present volume is to give a
survey of some of the most significant achievements obtained by
topological methods in Nonlinear Analysis during the last two-three
decades. The survey articles presented here reflect the personal
taste and points of view of the authors (all of them well-known and
distinguished specialists in their own fields) on the subject
matter. A common feature of these papers is that of start ing with
an historical introductory background of the different disciplines
under consideration and climbing up to the heights of the most
recent re sults."
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