Convex functions on Carnot groups
Juutinen, P., Lu, G., Manfredi, J., & Stroffolini, B. (2007). Convex functions on Carnot groups. Revista Matemática Iberoamericana, 23(1), 191-200. https://projecteuclid.org/journals/revista-matematica-iberoamericana/volume-23/issue-1/Convex-functions-on-Carnot-groups/rmi/1180728889.full
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Revista Matemática IberoamericanaDate
2007Copyright
© 2007 Departamento de Matemáticas, Universidad Autónoma de Madrid
We consider the definition and regularity properties of convex functions in Carnot groups. We show that various notions of convexity in the subelliptic setting that have appeared in the literature are equivalent. Our point of view is based on thinking of convex functions as subsolutions of homogeneous elliptic equations.
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European Mathematical Society Publishing HouseISSN Search the Publication Forum
0213-2230Keywords
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https://converis.jyu.fi/converis/portal/detail/Publication/16961151
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