The Steiner problem for infinitely many points

DOI10.4171/RSMUP/124-3zbMath1217.49038MaRDI QIDQ624844

Letizia Ulivi, Emmanuele Paolini

Publication date: 10 February 2011

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/242717

zbMATH Keywords

Steiner problemcompact connected set \(S\) of minimal one-dimensional Hausdorff measureunion of straight segments

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20)

Related Items (4)

Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy ⋮ Existence and regularity results for the Steiner problem ⋮ An optimal irrigation network with infinitely many branching points ⋮ Outer linear measure of connected sets via Steiner trees

Cites Work

• Solution of the Plateau problem for \(m\)-dimensional surfaces of varying topological type
• Steiner's invariants and minimal connections
• Existence and regularity results for the Steiner problem
• On one-dimensional continua uniformly approximating planar sets
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