364 research outputs found

    BOATS-Global-Fisheries-Economics-Model-Dataset-Carozza-et-al-2016

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    <p>Here we provide the MATLAB functions, fisheries data, model forcing data (net primary production and temperature), and model output required to generate the figures and perform calculations from Carozza et al. (2017) [Carozza DA, Bianchi D, Galbraith ED (2017) Formulation, General Features and Global Calibration of a Bioenergetically-Constrained Fishery Model. PLoS ONE 12(1): e0169763. doi:10.1371/journal.pone.0169763]. The plot script (plot_figures_PLoSONE_repository.m) is written in MATLAB version R2012a.</p&gt

    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 $

    A regularity result for p-harmonic equations with measure data

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    We examine the p-harmonic equation div |∇u|p−2∇u=µ where µ is a bounded Radon measure. We determine a range of p’s for which solutions to the equation verify an a priori estimate. For such p’s we also prove an higher integrability result

    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

    Catholic Thought and Dilemmas of Human Rights

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    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
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