Infinite-Dimensional Degree Theory and Ramer’S Finite Co-Dimensional Differential Forms
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DOI: 10.1093/qmath/haab022
Abstract: Infinite-dimensional degree theory, especially for Fredholm maps with positive index as developed with Tromba, is combined with Ramer’s unpublished thesis work on finite co-dimensional differential forms. As an illustrative example, the approach of Nicolaescu and… read more here.
Keywords: differential forms; dimensional degree; finite dimensional; degree theory ... See more keywords
A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem
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DOI: 10.1155/2017/7236103
Abstract: Let be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space . Let be maximal monotone, be bounded and of type and be compact with such that lies in (i.e.,… read more here.
Keywords: existence; theory; nonlinear parabolic; degree theory ... See more keywords