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On the topological degree of planar maps avoiding normal cones

TitleOn the topological degree of planar maps avoiding normal cones
Publication TypePreprint
2019
AuthorsFonda, A, Klun, G
Document NumberSISSA;04/2019/MATE
InstitutionSISSA

The classical Poincaré–Bohl theorem provides the exis-tence of a zero for a function avoiding external rays. When the do-main is convex, the same holds true when avoiding normal cones. We consider here the possibility of dealing with nonconvex sets having in-ward corners or cusps, in which cases the normal cone vanishes. This allows us to deal with situations where the topological degree may be di˙erent from ±1.

http://preprints.sissa.it/handle/1963/35330

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