1,720,985 research outputs found

    Boundedness of solutions to singular anisotropic elliptic equations

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    We prove the uniform boundedness of all solutions for a general class of Dirichlet anisotropic elliptic problems of the form -\Delta_{\overrightarrow{p}}u+\Phi_0(u,\nabla u)=\Psi(u,\nabla u) +f \quad \mbox{in } \Omega, \qquad u=0 \quad \mbox{on }\partial \Omega, where Ω\Omega is a bounded open subset in RN \mathbb R^N (N2)(N\geq 2), Δpu=j=1Nj(jupj2ju) \Delta_{\overrightarrow{p}}u=\sum_{j=1}^N \partial_j (|\partial_j u|^{p_j-2}\partial_j u) and Φ0(u,u)=(a0+j=1Najjupj)um2u\Phi_0(u,\nabla u)=\left(\mathfrak{a}_0+\sum_{j=1}^N \mathfrak{a}_j |\partial_j u|^{p_j}\right)|u|^{m-2}u, with \mathfrak{a}_0>0, m,p_j>1, aj0\mathfrak{a}_j\geq 0 for 1jN1\leq j\leq N and N/p=\sum_{k=1}^N (1/p_k)>1. We assume that fur(Ω)f \in u^r(\Omega) with r>N/p. The feature of this study is the inclusion of a possibly singular gradient-dependent term Ψ(u,u)=j=1Nuθj2ujuqj\Psi(u,\nabla u)=\sum_{j=1}^N |u|^{\theta_j-2}u\, |\partial_j u|^{q_j}, where \theta_j>0 and $0\leq q_

    Un mondo frattale, parte prima

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    Questo articolo è il sunto della conferenza tenuta durante la PLS Virtual Summer School 2020. Scopo della conferenza, e quindi dell'articolo, è stato quello di avvicinare gli studenti alla geometria frattale, facendo scoprire loro la nozione matematica di autosimilarità e l'esistenza di oggetti aventi dimensione non intera. L'ultima sezione dell'articolo contiene gli esercizi (e le relative soluzioni) proposti agli studenti alla fine della conferenza

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    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

    Variations on the Author

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    “Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship

    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

    I poligoni: dai mosaici dell’Alhambra alle incisioni di Escher

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    Descrizione delle attività svolte durante l'omonimo laboratorio tenuto per il PLS matematica nell'anno 201

    Dispelling the Myths Behind First-author Citation Counts

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    We conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more sophisticated methods

    Author Index

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    Incontri matematici del terzo tipo

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    Il Piano Lauree Scientifiche (PLS) `e oggi il principale programma di orientamento universitario in ambito scientifico operante in Italia. Esso nasce con il nome di Progetto Lauree Scientifiche nel 2004 dalla collaborazione tra il Ministero dell’Istruzione, dell’Universit`a e della Ricerca (MIUR), la Conferenza dei Presidi di Scienze e Teconologia (Con.Scienze), e Confindustria, con l’obiettivo principale di fare fronte alla riduzione degli studenti iscritti ai corsi di laurea scientifici, principalmente in matematica, fisica e chimic
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