1,720,973 research outputs found
Catholic Thought and Dilemmas of Human Rights
il pensiero cattolico può risultare utile nel risolvere i quattro spinosi dilemmi che sin dall'inizio hanno accompagnato il progetto della Dichiarazione universale dei diritti
Vector valued minimizers of anisotropic functionals: fractional differentiability and estimate for the singular set
We prove “fractional” higher differentiability for the gradient of minimizers of some
anisotropic integral functionals, if the growth exponents are no too far apart. This allows us
to give an estimate for the Hausdorff dimension of the singular set of minimizers
Estimates for minimizers of some relaxed polyconvex functionals
We consider the relaxed functional RF(u)=inflim infkF(uk):uk→uwhere F is the polyconvex integral F(u)=∫Ω[|Du|p+h(detDu)]dx,with u:Ω⊂Rn→Rn and h≥0 is convex. We prove bounds for minimizers of RF(u). Similar results are already known when p≥2. In the present paper we use a different technique that allows us to get also the subquadratic case 1<2. The model case is h(t)=|t|s with s≥1: with such an h, we get maximum modulus inequality supΩ|u|≤sup∂Ω|u|
Law Communities and he Religious Freedom Language of the Constiution
la protezione della libertà religiosa nella Costituzione american
Urban-Scale Energy Models: relationship between urban form and energy performance
Building geometry, urban morphology and local
climate are crucial aspects to optimize the energy performance
of buildings at neighborhoods scale. In addition, urban form is
a key parameter in modifying solar availability in densely
built-up areas. This paper explores relationships between
urban form and energy performance with implications for
solar energy production on building roofs. This study
investigated six neighborhoods of Turin (Italy) analyzing the
urban morphology and the solar potential, taking into account
the urban block typologies found across the city. From the
energy simulations –made with the use of an urban-scale
energy model– it has been found that in densely urban context,
the optimal shape of the building –with low energy
consumption and high solar energy production– must have a
surface-to-volume ratio that varies between 0.37 m2/m3 for
favorable orientated buildings and 0.35 m2/m3 for unfavorable
oriented ones. These results could help in the design phase of
new neighborhoods or in the reuse of existing buildings and
empty spaces to promote the transition to low-carbon energ
Going Beyond Counting First Authors in Author Co-citation Analysis
The present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
A trace preserving operator and applications
We construct a trace preserving operator which improves the integrability of functions in Sobolev classes refining the ones available in literature. As applications, we prove a C1,α partial regularity result for local minimizers of quasiconvex integral functionals satisfying non standard (p,q) growth conditions in the borderline case p=n−1 and q=n, and a global integrability result for weak solutions to a nonlinear elliptic system
Polyconvex functionals and maximum principle
Let us consider continuous minimizers u : , subset of Rn -> Rn of Z F (v) = [|Dv|p + |det Dv|r]dx, , with p > 1 and r > 0; then it is known that every component u alpha of u = (u1, ..., un) enjoys maximum principle: the set of interior points x, for which the value u alpha(x) is greater than the supremum on the boundary, has null measure, that is, Ln({x is an element of , : u alpha(x) > sup partial differential , u alpha}) = 0. If we change the structure of the functional, it might happen that the maximum principle fails, as in the case Z F(v) = [max{(|Dv|p - 1); 0} + |det Dv|r]dx, , with p > 1 and r > 0. Indeed, for a suitable boundary value, the set of the interior points x, for which the value u alpha(x) is greater than the supremum on the boundary, has a positive measure, that is Ln({x is an element of , : u alpha(x) > sup partial differential , u alpha}) > 0. In this paper we show that the measure of the image of these bad points is zero, that is Ln(u({x is an element of , : u alpha(x) > sup partial differential , u alpha})) = 0, provided p > n. This is a particular case of a more general theorem
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