177,173 research outputs found

    Polyconvex functionals and maximum principle

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    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

    On very weak solutions of a class of nonlinear elliptic systems

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    summary:In this paper we prove a regularity result for very weak solutions of equations of the type divA(x,u,Du)=B(x,u,Du)- \operatorname{div} A(x,u,Du)=B(x, u,Du), where AA, BB grow in the gradient like tp1t^{p-1} and B(x,u,Du)B(x, u, Du) is not in divergence form. Namely we prove that a very weak solution uW1,ru\in W^{1,r} of our equation belongs to W1,pW^{1,p}. We also prove global higher integrability for a very weak solution for the Dirichlet problem \cases -\operatorname{div} A(x,u,Du)\,=B(x, u,Du) \quad & \text{in } \Omega , \ u-u_o\in W^{1,r}(\Omega,\Bbb R^m). \endcases $

    Model problems from nonlinear elasticity : partial regularity results

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    In this paper we prove that every weak and strong local minimizer uW1,2(Ω,R3)u\in{W^{1,2}(\Omega,\mathbb{R}^3)} of the functional I(u)=ΩDu2+f(AdjDu)+g(detDu),I(u)=\int_\Omega|Du|^2+f({\rm Adj}Du)+g({\rm det}Du), where u:ΩR3R3 u:\Omega\subset\mathbb{R}^3\to \mathbb{R}^3, f grows like AdjDup|{\rm Adj}Du|^p, g grows like detDuq|{\rm det}Du|^q and 1<q<p<2, is C1,αC^{1,\alpha} on an open subset Ω0\Omega_0 of Ω such that meas(ΩΩ0)=0{\it meas}(\Omega\setminus \Omega_0)=0. Such functionals naturally arise from nonlinear elasticity problems. The key point in order to obtain the partial regularity result is to establish an energy estimate of Caccioppoli type, which is based on an appropriate choice of the test functions. The limit case p=q2p=q\le 2 is also treated for weak local minimizers

    Appropriate Similarity Measures for Author Cocitation Analysis

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    We provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis

    Fashion design out of waste: cradle to cradle dress

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    The paper aims to investigate a sustainable strategy for reducing the environmental impact of the fashion industry and at some time for leading to think on the human behaviors. A new vision of an eco-oriented project is expressed by the “FASHION OUT OF WASTE” manifesto dress and by a capsule collection titled “Plantable raincoat” and realized with biodegradable material. The aim is to promote is an approach to the design of “CRADLE to CRADLE” systems which consists of adapt- ing industry models to nature, or converting production processes by assimilating the materials used to natural elements, which must therefore regenerate, in contrast to the current “CRADLE to GRAVE” design system, literally from the cradle to the grave. The principle is that industry must preserve and enhance the ecosystems and biological cycles of nature while maintaining production cycles in a holistic view of the fashion system. Through the selection of cases of interest, the contribution highlights the current sustainable scenarios of the fashion system supporting by eco-oriented strategies on processes, innovative materials, products and services

    J. Gasco , L. Carozza , R. Fry , J.-D. Vigne , J. Wainwright Le Laouret et la Montagne d'Alaric à la fin de l'Age du Bronze. Un hameau abandonné entre Floure et Monze (Aude)

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    Mordant Claude. J. Gasco , L. Carozza , R. Fry , J.-D. Vigne , J. Wainwright Le Laouret et la Montagne d'Alaric à la fin de l'Age du Bronze. Un hameau abandonné entre Floure et Monze (Aude). In: Bulletin de la Société préhistorique française, tome 94, n°1, 1997. pp. 22-23

    "Closing the R&D Gap, Evaluating the Sources of R&D Spending"

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    Both spending and tax policies have been implemented in the United States with the goal of stimulating private sector research and development (R&D). Karier questions whether current R&D policy, especially the research and experimentation tax credit, can contribute to closing the gap between nondefense expenditures on R&D in the United States and such expenditures in other countries, such as Japan and Germany. He also explores possible changes to our current R&D policy to make it more effective.
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