Generalized exterior sphere conditions and φ-convexity

We consider sets S С R satisfying a certain exterior sphere condition, and it is shown that under wedgedness of S, it coincides with φ-convexity. We also offer related improvements concerning the union of uniform closed balls conjecture.

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Bibliographic Details
Main Author: Nour, Chadi (author)
Other Authors: Stern, Ron J. (author), Takche, Jean (author)
Format: article
Published: 2011
Online Access:http://hdl.handle.net/10725/3519
https://doi.org/10.3934/dcds.2011.29.615
http://aimsciences.org/journals/displayReferences.jsp?paperID=5583
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