Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.44 (2012)


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CONTENTS

Ahmad Shair, Stamova Ivanka

Stability criteria for impulsive Kolmogorov-type systems of nonautonomous differential equations

Al-Omari Ahmad

Contra continuity on weak structure spaces

Al-Omari Ahmad, Noiri Takashi

On theta_(I,J )-continuous functions

Bianchini Stefano, Yu Lei

SBV-like regularity for general hyperbolic systems of conservation laws in one space dimension

Beccari Giannina, Massaza Carla

Strongly inessential elements of a perfect height 2 ideal

Benedetti Irene, Malaguti Luisa, Taddei Valentina

Semilinear evolution equations in abstract spaces and applications

Benevieri Pierluigi, Calamai Alessandro, Furi Massimo, Pera Maria Patrizia

On the existence of forced oscillations of retarded functional motion equations on a class of topologically nontrivial manifolds

Bonheure Denis, De Coster Colette, Derlet Ann

Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space

Cantone Domenico, Omodeo Eugenio G., Spartà Gaetano T.

Solvable (and unsolvable) cases of the decision problem for fragments of analysis

Capietto Anna, Dambrosio Walter, Papini Duccio

A global bifurcation result for a second order singular equation

Chiodera Ludovica, Ellia Philippe

Rank two globally generated vector bundles with $c_{1}\leq5$

Comparini Elena, Ughi Maura

On the asymptotic behaviour of the characteristics in the codiffusion of radioactive isotopes with general initial data

Cuccagna Scipio

On the Darboux and Birkhoff steps in the asymptotic stability of solitons

Dikranjan Dikran, Giordano Bruno Anna

Limit free computation of entropy

Dimov Georgi D.

A Whiteheadian-type description of Euclidean spaces, spheres, tori and Tychonoff cubes

Frič Roman

From probability to sequences and back

Hrušák Michael, Meza-Alcántara David

Katětov order, Fubini property and Hausdorff ultrafilters

Marini Mauro, Matucci Serena

A boundary value problem on the half-line for superlinear differential equations with changing sign weight

Marques Diego, Togbé Alain

On repdigits as product of consecutive Fibonacci numbers

Mawhin Jean

Periodic solutions for quasilinear complex-valued differential systems involving singular $\phi$-Laplacians

Ortega Rafael, Ruiz-Herrera Alfonso

Index and persistence of stable Cantor sets

Portelli Dario

On the supports for cohomology classes of complex manifolds

Russell Johnson, Zampogni Luca

Remarks concerning the Lyapunov exponents of linear cocycles

Sabatini Marco

Linearizations, normalizations and isochrones of planar differential systems

Villari Gabriele

An improvement of Massera’s theorem for the existence and uniqueness of a periodic solution for the Li´enard equation

Details

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.

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  • Publication
    Rendiconti dell'Istituto di Matematica dell'Università di Trieste. An International Journal of Mathematics. Vol. 44 (2012)
    (EUT Edizioni Università di Trieste, 2012)
    Università degli Studi di Trieste, Dipartimento di Matematica e Informatica
    Rendiconti dell’Istituto di Matematica dell’Università di Trieste was founded in 1969 by Arno Predonzan, with the aim of publishing original research articles in all fields of mathematics and has been the first Italian mathematical journal to be published also on-line. The access to the electronic version of the journal is free. All published articles are available on-line. The journal can be obtained by subscription, or by reciprocity with other similar journals. Currently more than 100 exchange agreements with mathematics departments and institutes around the world have been entered in.
      623  1627
  • Publication
    On the supports for cohomology classes of complex manifolds
    (EUT Edizioni Università di Trieste, 2012)
    Portelli, Dario
    Let $X$ be a compact, connected complex manifold, and let $\xi\in H^{i}(X,{\mathbb Q} )$ be a non-trivial class. The paper deals with the possibility to construct a topological cycle $\Gamma$ on $X,$ whose class is the Poincar\'e dual of $\xi\thinspace ,$ which is closely related in a precise sense to the complex structure of $X.$ The desired properties of $\Gamma$ allow to define a differentiable relation into a suitable space of $1$-jets. This relation shows that there is a preliminary topological obstruction to construct such a $\Gamma$. The main result of the paper is that, in a relevant particular case, this obstruction disappears.
      794  602
  • Publication
    Infinitely many radial solutions of a mean curvature equation in Lorentz-Minkowski space
    (EUT Edizioni Università di Trieste, 2012)
    Bonheure, Denis
    ;
    De Coster, Colette
    ;
    Derlet, Ann
    In this paper, we show that the quasilinear equation $$ -{\rm div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^{2}}}\right) = |u|^{\alpha-2}u,\ \text{ in }\mathbb{R}^{N} $$ has a positive smooth radial solution at least for any $\alpha> 2^{\star}=2N/(N-2)$, $N\ge 3$. Our approach is based on the study of the optimizers for the best constant in the inequality $$ \int_{\mathbb{R}^N}(1-\sqrt{1-|\nabla u|^2}) \ge C \left( \int_{\mathbb{R}^{N}} |u|^\alpha\right)^{\frac{N}{\alpha+N}}, $$ which holds true in the unit ball of $W^{1,\infty}(\mathbb{R}^{{N}})\cap \mathcal D^{1;2}(\mathbb{R}^{N})$ if and only if $\alpha\ge 2^{\star}$. We also prove that the best constant is not achieved for $\alpha=2^{\star}$. As a byproduct, our arguments combined with Lusternik-Schnirelmann category theory allow to construct a sequence of radial solutions.
      1034  782
  • Publication
    Katětov order, Fubini property and Hausdorff ultrafilters
    (EUT Edizioni Università di Trieste, 2012)
    Hrušák, Michael
    ;
    Meza-Alcántara, David
    We study the Fubini property of ideals on omega and prove that the Solecki’s ideal S is critical for this property in the Katětov order. We show that a well-known F_sigma-ideal is critical for Hausdorff ultrafilters in the Katětov order and, by investigating the position of this ideal in the Katětov order, we show some of the known properties of this class of ultrafilters, including the Fubini property.
      1262  661
  • Publication
    Strongly inessential elements of a perfect height 2 ideal
    (EUT Edizioni Università di Trieste, 2012)
    Beccari, Giannina
    ;
    Massaza, Carla
    In this paper we expand on some results exposed in a previous one, in which we introduced the concept of inessential and strongly inessential generators in a standard basis of a saturated homogeneous ideal. The appearance of strongly inessential elements seemed to be a non generic situation; in this paper we analyze their presence in a perfect height 2 ideal with the greatest number of generators, according to Dubreil’s inequality.
      910  656