5,183 research outputs found

    Erratum: Parotid gland edema after chlorhexidine mouthrinse: Case report and literature review (The Open Dentistry Journal, 2018, 12: 1147-1151)

    No full text
    Parotid Gland Edema After Chlorhexidine Mouthrinse: Case Report and Literature Review The Open Dentistry Journal, 2018, 12: 1147-1151 The correct list of authors’ names is provided and replaced online which is mentioned as under: Federico Berton1, Giulia Pipinato1, Michele Maglione1, Domenico Baldi2, Roberto Di Lenarda1 and Claudio Stacchi1,* The published list of authors was: Federico Berton1, Pipinato Giulia1, Maglione Michele1, Baldi Domenico2, Di Lenarda Roberto1 and Stacchi Claudio1

    Il Carcer nella produzione di Cardano

    No full text
    Alongside a larger analysis of Cardano's moral philosophy since the De consolatione (1542), the essay focuses on the dialogue Carcer, and suggests a relationship between the difficulties encountered by the author in the Duchy of Milan in 1560-61, and the trial of 1570 in Bologna. Special attention is devoted to the philosophical reasons that support in the Carcer the Plutarchean sera numinis vindicta, one of Cardano's favorites topics

    Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

    No full text
    On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie groups,” C. R. Acad. Sci., Paris Sér. I Math., vol. 329, no. 11, pp. 985–990, 1999, M. Rumin, “Sub-Riemannian limit of the differential form spectrum of contactmanifolds,” Geom. Funct. Anal., vol. 10, no. 2, pp. 407–452, 2000), where the author introduced a 0-order pseudodifferential operator on forms. However, for questions regarding regularity for example, where one needs sharp estimates, this 0-order operator is not suitable. Up to now, there have only been very few attempts to define hypoelliptic Hodge- Laplacians on forms that would allow for such sharp estimates. Indeed, this question is rather difficult to address in full generality, the main issue being that the Rumin exterior differential dc is not homogeneous on arbitrary Carnot groups. In this note, we consider the specific example of the free Carnot group of step 3 with 2 generators, and we introduce three possible definitions of hypoelliptic Hodge-Laplacians.We compare how these three possible Laplacians can be used to obtain sharp div-curl type inequalities akin to those considered by Bourgain & Brezis and Lanzani & Stein for the de Rham complex, or their subelliptic counterparts obtained by Baldi, Franchi & Pansu for the Rumin complex on Heisenberg groups
    corecore