Poincaré–Friedrichs–Weber constants on bounded convex domains are nonincreasing in differential form degree, with the Poincaré constant as upper bound; estimates also given for star-shaped domains plus new proofs for gauge and expansion function Lipschitz constants.
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On the geometry of star domains and the spectra of Hodge-Laplace operators
Poincaré–Friedrichs–Weber constants on bounded convex domains are nonincreasing in differential form degree, with the Poincaré constant as upper bound; estimates also given for star-shaped domains plus new proofs for gauge and expansion function Lipschitz constants.