On the topological degree of planar maps avoiding normal cones

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dc.contributor.areaMathematicsen_US
dc.contributor.authorFonda, Alessandro
dc.contributor.authorKlun, Giuliano
dc.date.accessioned2019-03-07T10:47:24Z
dc.date.available2019-03-07T10:47:24Z
dc.date.issued2019-03-07
dc.description.abstractThe 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.en_US
dc.identifier.sissaPreprint04/2019/MATE
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35330
dc.language.isoenen_US
dc.miur.area1en_US
dc.publisherSISSAen_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;04/2019/MATE
dc.relation.lastpage23en_US
dc.subjectPoincaré–Bohlen_US
dc.subjecttopological degreeen_US
dc.subjectavoiding cones conditionen_US
dc.titleOn the topological degree of planar maps avoiding normal conesen_US
dc.typePreprinten_US
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