On the Hölder regularity of the landscape function

DOI10.4171/IFB/254zbMath1220.49022OpenAlexW2083239469MaRDI QIDQ633938

Alessio Brancolini, Sergio Solimini

Publication date: 2 August 2011

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/254

zbMATH Keywords

landscape functionirrigation modelsoptimal transportation problems

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Regularity of solutions in optimal control (49N60)

Related Items (9)

Equivalent formulations for the branched transport and urban planning problems ⋮ Some remarks on the fractal structure of irrigation balls ⋮ General transport problems with branched minimizers as functionals of 1-currents with prescribed boundary ⋮ On landscape functions associated with transport paths ⋮ Optimal Shapes for Tree Roots ⋮ Optimal micropatterns in 2D transport networks and their relation to image inpainting ⋮ Fractal regularity results on optimal irrigation patterns ⋮ A fractal shape optimization problem in branched transport ⋮ Optimal micropatterns in transport networks

Cites Work

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• Elementary properties of optimal irrigation patterns
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• Optimal transportation and applications. Lectures given at the C. I. M. E. summer school, Martina Franca, Italy, September 2--8, 2001
• A variational model of irrigation patterns
• Optimal channel networks, landscape function and branched transport
• On the dimension of an irrigable measure
• Traffic plans
• Synchronic and Asynchronic Descriptions of Irrigation Problems
• Synchronized traffic plans and stability of optima
• OPTIMAL PATHS RELATED TO TRANSPORT PROBLEMS

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