Sharp geometrical properties of a-rarefied sets via fixed point index for the Schrödinger operator equations

In this paper, we use the theory of fixed point index for the Schrödinger operator equations to obtain a geometrical property of a-rarefied sets at infinity on cones. Meanwhile, we give an example to show that the reverse of this property is not true.

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering 2015-12, Vol.2015 (1), p.1-9
Main Authors: Li, Zhiqiang, Ychussie, Beatriz
Format: Article
Language:English
Subjects:
Cones
Fixed points (mathematics)
Infinity
Mathematical analysis
Operators
Schroedinger equation
Online Access:Get full text
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Description
Summary:In this paper, we use the theory of fixed point index for the Schrödinger operator equations to obtain a geometrical property of a-rarefied sets at infinity on cones. Meanwhile, we give an example to show that the reverse of this property is not true.
ISSN:2730-5422
1687-1812
DOI:10.1186/s13663-015-0342-1