A new functional for the Calculus of Variations, involving the variational mean curvature of sets in $$R^n$$Rn
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DOI: 10.1007/s00229-017-0985-9
Abstract: We study the pth power $$W_p(E)=\int _{{\mathbb R}^n}|H_E|^p\,dx$$Wp(E)=∫Rn|HE|pdx, where $$H_E$$HE is the variational mean curvature of E, as defined in Barozzi (Rend Mat Acc Linceis 9(5):149–159, 1994) (see also in Proc Am Math Soc 99:313–316,… read more here.
Keywords: variational mean; mean curvature; functional calculus; new functional ... See more keywords
Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds
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DOI: 10.1007/s13324-025-01051-z
Abstract: In this paper, we show that the semiclassical calculus recently developed on nilpotent Lie groups and nilmanifolds include the functional calculus of suitable subelliptic operators. Moreover, we obtain Weyl laws for these operators. Amongst these… read more here.
Keywords: nilpotent lie; lie groups; calculus; semiclassical functional ... See more keywords
Functional calculus for generators of symmetric contraction semigroups
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DOI: 10.1215/00127094-3774526
Abstract: We prove that every generator of a symmetric contraction semigroup on a $\sigma$-finite measure space admits, for $1 read more here.
Keywords: contraction semigroups; generators symmetric; functional calculus; symmetric contraction ... See more keywords