105,853 research outputs found
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I
No full textWe continue the study of the space BVα(Rn) of functions with bounded fractional variation in Rn of order α∈ (0 , 1) introduced in our previous work (Comi and Stefani in J Funct Anal 277(10):3373–3435, 2019). After some technical improvements of certain results of Comi and Stefani (2019) which may be of some separated insterest, we deal with the asymptotic behavior of the fractional operators involved as α→ 1 -. We prove that the α-gradient of a W1,p-function converges in Lp to the gradient for all p∈ [1 , + ∞) as α→ 1 -. Moreover, we prove that the fractional α-variation converges to the standard De Giorgi’s variation both pointwise and in the Γ -limit sense as α→ 1 -. Finally, we prove that the fractional β-variation converges to the fractional α-variation both pointwise and in the Γ -limit sense as β→ α- for any given α∈ (0 , 1)
The fractional variation and the precise representative of functions
No full textWe continue the study of the fractional variation following the distributional approach developed in the previous works Brue et al. (2021), Comi and Stefani (2019), Comi and Stefani (2019). We provide a general analysis of the distributional space BV alpha,p(R-n) of L-p functions, with p is an element of [1, +infinity], possessing finite fractional variation of order alpha is an element of (0, 1). Our two main results deal with the absolute continuity property of the fractional variation with respect to the Hausdorff measure and the existence of the precise representative of a BV alpha,p function
The fractional variation and the precise representative of BV alpha,p functions
No full textWe continue the study of the fractional variation following the distributional approach developed in the previous works Bruè et al. (2021), Comi and Stefani (2019), Comi and Stefani (2019). We provide a general analysis of the distributional space BVα,p(Rn) of Lp functions, with p∈ [1 , + ∞] , possessing finite fractional variation of order α∈ (0 , 1). Our two main results deal with the absolute continuity property of the fractional variation with respect to the Hausdorff measure and the existence of the precise representative of a BVα,p function
On the Steiner property for planar minimizing clusters. The isotropic case
No full textWe consider the isoperimetric problem for clusters in the plane with a double density, that is, perimeter and volume depend on two weights. In this paper, we consider the isotropic case, in the parallel paper [V. Franceschi, A. Pratelli and G. Stefani, On the Steiner property for planar minimizing clusters. The anisotropic case, preprint (2020)] the anisotropic case is studied. Here we prove that, in a wide generality, minimal clusters enjoy the "Steiner property", which means that the boundaries are made by C-1,C-gamma regular arcs, meeting in finitely many triple points with the 120 degrees property
Stefani (G.) - Finanziamento e tassazione delle imprese pubbliche in Italia, Francia, Gran Bretagna.
No full textBousquet G.-H. Stefani (G.) - Finanziamento e tassazione delle imprese pubbliche in Italia, Francia, Gran Bretagna.. In: Revue économique, volume 21, n°2, 1970. pp. 327-328
Pompeii geoarchaeological setting – An archive older than 40,000 years of volcanism, soil formation and geoarchaeological landscape
No full textThe present work describes the results of full lithostratigraphic, pedological and geoarchaeological studies carried out
in the Pompeii archaeological area (southern Italy), combined with logs data, surface and underground survey of lava and
tephra outcrops. The ancient Pompeii is probably the most famous and complex site of archaeological investigation in the
world. Through many studies have been devoted to various archaeological aspects, detailed reconstructions of the
geological setting and history of geoarchaeological landscapes are still lacking. At present, Pompeii landscape consists
of low hills recognized as volcanic landforms and attributed to the Somma-Vesuvius volcano activity; they correspond to
ancient local vents covered of a multilayered succession of repeated volcanic deposits and paleosoils, mainly related to
alternating volcanic activity and quiescence periods with consequent pedogenesis (De Maio and Stefani, 2004;
D’Ambrosio et al., 2001; Cinque and Irollo, 2004). This succession comprises at least the last 40,000 years of
sedimentation history, reflecting the entire spectrum of eruption types of the Somma-Vesuvius, i.e. from Plinian to sub-
Plinian eruptions, relatively small eruptions to effusive volcanic events and, on the other hand, soil formations of different
durations, intensities and soil-forming environments. Before the foundation of the city, paleosoils repeatedly reveal clear
evidence of anthropogenic activity, represented by agricultural practices. Once the city has taken to develop,
anthropogenic landscape changes become particularly pronounced. The various periods of edification of the city walls
required different types of land management, related to the variable morphological profiles encountered along of
defensive wall circuit (longer than 3 km). Outcrops were deeply modified with quarries, underground excavations,
earthworks. Several wells were drilled deeper than 20 meters to reach the water table. Two main geological sections,
carried out through the Tempio di Venere and the Regio VIII Insula southern lava cliff, show a core of lavas locally
capping buried deposits of the Campanian Ignimbrite. Geological risk assessment in such a complex archaeological site
needs specific evaluations/methods and flexibility, according to specific conditions and case studies.
Di Maio G. & Stefani G. 2004. Considerazioni sulla linea di costa del 79 d.C. e sul porto dell'antica Pompei. Rivista di studi Pompeiani, L'Erma di
Bretschneider, Roma,14, 141-195.
D’Ambrosio A., Deino A., Di Maio G., Mastroberto M., Melluso L., Morra V., Rota L., Santangelo N., Sperandeo G., Stefani G. 2001. Assetto
geoarcheologico dell’area pompeiana. Nuovi dati per un’ipotesi di ricostruzione paleoambientale”. Pompei e società, Electa, Napoli, 207-208.
Cinque A. & Irollo G. 2004. The “Pompei Volcano”: new geomorphological and stratigraphical data. Il Quaternario, Italian Journal of Quaternary
Science, 17, 101-116
Attività economiche urbane e tutela del patrimonio storico-artistico, con particolare riferimento ai centri storici. La normativa, la pianificazione, la gestione amministrativa.
No full textSi tratta di un capitolo redatto nell'ambito de report di ricerca esito di una convenzione quadro tra Fondazione Politecnico di Milano, Camera di commercio, industria, artigianato e agricoltura di Milano dal titolo "La regolazione dell'occupazione di spazi ed aree pubbliche nell'ambito delle attività economiche: una comparazione tra Grandi Comuni, responsabile scientifico e coordinatore prof. L. Tamini, gruppo di ricerca composto da A. Bruzzese, L. de Stefani, G. Limonta, C. Barzoll
G. Stefani et G. Levasseur, Procédure pénale, l1e éd., avec B. Bouloc
No full textG. Stefani et G. Levasseur, Procédure pénale, l1e éd., avec B. Bouloc. In: Revue internationale de droit comparé. Vol. 32 N°3, Juillet-septembre 1980. p. 684
G. Stefani et G. Levasseur, Procédure pénale, l1e éd., avec B. Bouloc
No full textG. Stefani et G. Levasseur, Procédure pénale, l1e éd., avec B. Bouloc. In: Revue internationale de droit comparé. Vol. 32 N°3, Juillet-septembre 1980. p. 684
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