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The Existence Problem for Steiner Networks in Strictly Convex Domains.

Authors :
Freire, Alexandre
Source :
Archive for Rational Mechanics & Analysis. May2011, Vol. 200 Issue 2, p361-404. 44p. 18 Diagrams.
Publication Year :
2011

Abstract

We consider the existence problem for 'Steiner networks' (trivalent graphs with 2 π/3 angles at each junction) in strictly convex domains, with 'Neumann' boundary conditions. For each of the three possible combinatorial possibilities, sufficient conditions on the domain are derived for existence. In addition, in each case explicit examples of nonexistence are given. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*STEINER systems
*CONVEX domains
*NEUMANN problem
*BOUNDARY value problems
*COMBINATORICS
*EXISTENCE theorems
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
00039527
Volume :
200
Issue :
2
Database :
Academic Search Index
Journal :
Archive for Rational Mechanics & Analysis
Publication Type :
Academic Journal
Accession number :
59904178
Full Text :
https://doi.org/10.1007/s00205-011-0414-2
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