Titlebook: Topological Nonlinear Analysis II; Degree, Singularity Michele Matzeu,Alfonso Vignoli Conference proceedings 1997 Birkh?user Boston 1997 D

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Degree for Gradient Equivariant Maps and Equivariant Conley Index,ifferent from 0 on the boundary of Ω, then there is defined an integer Deg(., Ω) — the Brouwer (or topological) degree of . with respect to Ω. Obviously, if in the place of all continuos maps and all open bounded subsets of ?. we take a smaller class of maps and/or a smaller class of subsets then we

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Variations and Irregularities,al and physical objects, possibly very “irregular” or “degenerate.”.We will first recall some classic notions. Selfadjoint extensions of differential operators, generalized derivatives, finite difference schemes. We will then describe a few important metric, variational and measure theoretic tools,

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Singularity Theory and Bifurcation Phenomena in Differential Equations,ll perturbations, i.e., to find those functions . which have the property that any nearby smooth function . . is diffeomorphically equivalent to .. This reduces to a local problem, and then to the problem of studying the Taylor expansion of . and trying to determine which terms of the expansion guar

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