Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.40 (2008)

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Editorial policy The journal Rendiconti dell’Istituto di Matematica dell’università di Trieste publishes original articles in all areas of mathematics. Special regard is given to research papers, but attractive expository papers may also be considered for publication. The journal usually appears in one issue per year. Additional issues may however be published. In particular, the Managing Editors may consider the publication of supplementary volumes related to some special events, like conferences, workshops, and advanced schools. All submitted papers will be refereed. Manuscripts are accepted for review with the understanding that the work has not been published before and is not under consideration for publication elsewhere. Our journal can be obtained by exchange agreements with other similar journals.

Instructions for Authors Authors are invited to submit their papers by e-mail directly to one of the Managing Editors in PDF format. All the correspondence regarding the submission and the editorial process of the paper are done by e-mail. Papers have to be written in one of the following languages: English, French, German, or Italian. Abstracts should not exceed ten printed lines, except for papers written in French, German, or Italian, for which an extended English summary is required. After acceptance, manuscripts have to be prepared in LaTeX using the style rendiconti.cls which can be downloaded from the web page. Any figure should be recorded in a single PDF, PS (PostScript), or EPS (Encapsulated PostScript) file.

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Recent Submissions

Now showing 1 - 5 of 11
  • Publication
    Local Overdetermined Linear Elliptic Problems in Lipschitz Domains with Solutions Changing Sign
    (EUT - Edizioni Università di Trieste, 2009)
    Canuto, Bruno
    ;
    Rial, Diego
    We prove that the only domain $\Omega$ such that there exists a solution to the following overdetermined problem $\Deltau+\omega2u=−1$ in in $\Omega$, u = 0 on $\partial\Omega$, and $\partialnu = c$ on $\partial\Omega$, is the ball B1, independently on the sign of u, if we assume that the boundary $\partial\Omega$ is a perturbation (no necessarily regular) of the unit sphere $\partialB1$ of Rn. Here $\omega2 \neq (\lambdan)n\geq1$ (the eigenvalues of $−\Delta$ in B1 with Dirichlet boundary conditions), and $\omega \Lambda$, where $\Lambda$ is a enumerable set of R+, whose limit points are the values $\lambda1m$, for some integer $m\geq1$, $\lambda1m$ being the mth-zero of the first-order Bessel function I1.
      1566  1127
  • Publication
    A Nonstandard Proof of the Banach-Steinhaus Theorem
    (EUT - Edizioni Università di Trieste, 2009)
    Vera Sereno, Edith M.
    ;
    Vera Mendoza, Rigoberto
    The Banach-Steinhaus theorem, also known as Uniform Boundedness Principle, has a standard proof a little bit too long. In this article we will give a real short proof using the nonstandard analysis technique.
      1538  135
  • Publication
    Problemi di razionalità e unirazionalità: da Ugo Morin ai giorni nostri
    (EUT - Edizioni Università di Trieste, 2009)
    Verra, Alessandro
    Unirationality and rationality problems are, in the field of Algebraic Geometry, among the most significant topics of the scientific legacy of Ugo Morin. The paper compares the present state of the art, and its historical evolution, with Morin’s achievements and his brilliant ideas. A special attention to open problems and the newer notion of rational connectivity is payed.
      1149  1485
  • Publication
    Almost PSH Functions on Calabi’s Bundles
    (EUT - Edizioni Università di Trieste, 2009)
    Abdesselem, Adnène Ben
    ;
    Cherrier, Pascal
    We give an explicit lower bound for almost psh functions on some Fano manifolds. These manifolds generalize those introduced by Calabi in [5], and also provide a generalization of the concept of the blowing-up of $\mathbb P_m\mathbb C$ at one point. To this end, we use a method introduced in [4], which consists of studying the behavior of psh functions along some well-chosen holomorphic curves.
      1353  1394
  • Publication
    Lifts of Structures on Product Manifolds
    (EUT - Edizioni Università di Trieste, 2009)
    Tekkoyun, Mehmet
    This article presents the further steps of the previously done studies taking into consideration the k-th order extensions of a complex manifold. In the previous studies higher order vertical and complete lifts of structures on the complex manifold were introduced. Presently, k-th extended spaces of a product manifold have been set and the higher order vertical, complete, complete- vertical and horizontal lifts of geometric structures on the product manifold have been presented.
      1200  823