On the dimension of an irrigable measure

zbMath1165.28302MaRDI QIDQ2462217

Sergio Solimini, Giuseppe Devillanova

Publication date: 26 November 2007

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

Full work available at URL: https://eudml.org/doc/108712

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Probabilistic measure theory (60A10) Hausdorff and packing measures (28A78)

Related Items (17)

Ramified Optimal Transportation with Payoff on the Boundary ⋮ Some remarks on the fractal structure of irrigation balls ⋮ The regularity of optimal irrigation patterns ⋮ Elementary properties of optimal irrigation patterns ⋮ On landscape functions associated with transport paths ⋮ The exchange value embedded in a transport system ⋮ Connecting measures by means of branched transportation networks at finite cost ⋮ On the Hölder regularity of the landscape function ⋮ Improved stability of optimal traffic paths ⋮ Fractal regularity results on optimal irrigation patterns ⋮ The structure of branched transportation networks ⋮ On the optimal shape of tree roots and branches ⋮ Strong approximation in \(h\)-mass of rectifiable currents under homological constraint ⋮ A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces ⋮ Stability for the mailing problem ⋮ A Multimaterial Transport Problem and its Convex Relaxation via Rectifiable $G$-currents ⋮ Irrigable measures for weighted irrigation plans

Cites Work

• Elementary properties of optimal irrigation patterns
• A variational model of irrigation patterns
• OPTIMAL PATHS RELATED TO TRANSPORT PROBLEMS
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