Arch Ration Mech Anal
August 2023
The validity of Weyl's law for the Steklov problem on domains with Lipschitz boundary is a well-known open question in spectral geometry. We answer this question in two dimensions and show that Weyl's law holds for an even larger class of surfaces with rough boundaries. This class includes domains with interior cusps as well as "slow" exterior cusps.
View Article and Find Full Text PDFWe study a new link between the Steklov and Neumann eigenvalues of domains in Euclidean space. This is obtained through an homogenisation limit of the Steklov problem on a periodically perforated domain, converging to a family of eigenvalue problems with dynamical boundary conditions. For this problem, the spectral parameter appears both in the interior of the domain and on its boundary.
View Article and Find Full Text PDFInt J Sport Nutr Exerc Metab
February 2016
The decrease in resting energy expenditure (REE) and fat oxidation with aging is associated with an increase in fat mass (FM), and both could be prevented by exercise such as resistance training. Dairy consumption has also been shown to promote FM loss in different subpopulations and to be positively associated with fat oxidation. Therefore, we sought to determine whether resistance exercise combined with dairy supplementation could have an additive impact on FM and energy metabolism, especially in individuals with a deficit in muscle mass.
View Article and Find Full Text PDFMed Mycol Case Rep
December 2013
Recently, an increasing prevalence of nondermatophyte mold onychomycosis was observed, in which Chaetomium globosum was rarely involved as primary pathogenic agent. Besides this, reports of mixed infection associating a dermatophyte and a nondermatophyte mold have become more frequent. Here, we present a clinical case of a mixed onychomycosis infection of a toenail caused by Chaetomium globosum and Trichophyton mentagrophytes.
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