6,990 research outputs found

    Bifurcation results for a fractional elliptic equation with critical exponent in R^n

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    In this paper we study some nonlinear elliptic equations in Rn\R^n obtained as a perturbation of the problem with the fractional critical Sobolev exponent, that is (−Δ)su=ϵ h uq+up inRn, (-\Delta)^s u = \epsilon\,h\,u^q + u^p \ {{in}}\R^n, where s∈(0,1)s\in(0,1), n>4sn>4s, ϵ>0\epsilon>0 is a small parameter, p=n+2sn−2sp=\frac{n+2s}{n-2s}, 0<q<p0<q<p and hh is a continuous and compactly supported function. To construct solutions to this equation, we use the Lyapunov-Schmidt reduction, that takes advantage of the variational structure of the problem. For this, the case 0<q<10<q<1 is particularly difficult, due to the lack of regularity of the associated energy functional, and we need to introduce a new functional setting and develop an appropriate fractional elliptic regularity theory

    Approximations of the aggregated interference statistics for outage analysis in massive MTC

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    This paper presents several analytic closed-form approximations of the aggregated interference statistics within the framework of uplink massive machine-type-communications (mMTC), taking into account the random activity of the sensors. Given its discrete nature and the large number of devices involved, a continuous approximation based on the Gram–Charlier series expansion of a truncated Gaussian kernel is proposed. We use this approximation to derive an analytic closed-form expression for the outage probability, corresponding to the event of the signal-to-interference-and-noise ratio being below a detection threshold. This metric is useful since it can be used for evaluating the performance of mMTC systems. We analyze, as an illustrative application of the previous approximation, a scenario with several multi-antenna collector nodes, each equipped with a set of predefined spatial beams. We consider two setups, namely single- and multiple-resource, in reference to the number of resources that are allocated to each beam. A graph-based approach that minimizes the average outage probability, and that is based on the statistics approximation, is used as allocation strategy. Finally, we describe an access protocol where the resource identifiers are broadcast (distributed) through the beams. Numerical simulations prove the accuracy of the approximations and the benefits of the allocation strategy.Peer ReviewedPostprint (published version

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    At the Poles

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    Dazzle Makes a Wish

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    Esperanza Caramelo, the Star of Nochebuena

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    El papel de las trabajadoras durante la industrialización europea del Siglo XIX. Construcciones discursivas del movimiento obrero en torno al sujeto “mujeres”

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    XIX Jornades de Foment de la Investigació de la Facultat de Ciències Humanes i Socials (Any 2014)El proceso de industrialización iniciado en la Europa del siglo XVIII, supuso una revolución que cambió las estructuras y la lógica de las sociedades europeas occidentales. En su seno, el papel de mujeres y hombres se vio afectado sobremanera, generando nuevos esquemas sociales y agudizando las desigualdades de género. Además, el surgimiento de la clase burguesa y la obrera marcó también un nuevo periodo de luchas. En este sentido, la lucha obrera se hizo cada vez más fuerte. Sin embargo, las trabajadoras encontraron reticencias para incorporarse a los sindicatos, a pesar de haber participado activamente en el movimiento obrero del siglo XIX. Y es que la consideración de las mujeres como iguales en la lucha obrera se encontraba condicionada por la construcción de éstas como seres naturalmente pertenecientes al hogar
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