\(L^\infty\)-variational problem associated to Dirichlet forms

DOI10.4310/MRL.2012.V19.N6.A7zbMath1280.49028MaRDI QIDQ390212

Pekka Koskela, Yuan Zhou, Nageswari Shanmugalingam

Publication date: 22 January 2014

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: http://intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0019/0006/a007/index.html

zbMATH Keywords

Dirichlet formmetric measure spaceCarnot-Carathéodory space\(L^\infty\)-variational problemabsolute minimizerdifferential structureintrinsic distance

Mathematics Subject Classification ID

Existence theories in calculus of variations and optimal control (49J99)

Related Items (5)

A Rademacher type theorem for Hamiltonians \(H(x, p)\) and an application to absolute minimizers ⋮ Geometry and analysis of Dirichlet forms. II ⋮ \(L^\infty\)-variational problems associated to measurable Finsler structures ⋮ Uniqueness of absolute minimizers for \(L^\infty\)-functionals involving Hamiltonians \(H(x,p)\) ⋮ Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems

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