SISSA Open Science

On the topological degree of planar maps avoiding normal cones

Show simple item record Fonda, Alessandro Klun, Giuliano 2019-03-07T10:47:24Z 2019-03-07T10:47:24Z 2019-03-07
dc.description.abstract 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. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;04/2019/MATE
dc.subject Poincaré–Bohl en_US
dc.subject topological degree en_US
dc.subject avoiding cones condition en_US
dc.title On the topological degree of planar maps avoiding normal cones en_US
dc.type Preprint en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.identifier.sissaPreprint 04/2019/MATE
dc.relation.firstpage 1 en_US
dc.relation.lastpage 23 en_US

Files in this item

This item appears in the following Collection(s)

Show simple item record

Search SISSA Open Science


My Account