Characterisation of upper gradients on the weighted Euclidean space and applications
Lučić, D., Pasqualetto, E., & Rajala, T. (2021). Characterisation of upper gradients on the weighted Euclidean space and applications. Annali di Matematica Pura ed Applicata, 200(6), 2473-2513. https://doi.org/10.1007/s10231-021-01088-4
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Annali di Matematica Pura ed ApplicataDate
2021Discipline
Analyysin ja dynamiikan tutkimuksen huippuyksikköMatematiikkaAnalysis and Dynamics Research (Centre of Excellence)MathematicsCopyright
© 2021 the Authors
In the context of Euclidean spaces equipped with an arbitrary Radon measure, we prove the equivalence among several different notions of Sobolev space present in the literature and we characterise the minimal weak upper gradient of all Lipschitz functions.
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SpringerISSN Search the Publication Forum
0373-3114Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/51974407
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Research Council of FinlandFunding program(s)
Academy Project, AoFAdditional information about funding
All authors are partially supported by the Academy of Finland, Project 314789.License
Except where otherwise noted, this item's license is described as CC BY 4.0