Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.49 (2017)

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CONTENTS / SOMMARIO

Drábek Pavel, Kufner Alois

Hardy inequality, compact embeddings and properties of certain eigenvalue problems

Torres Pedro J.

The prescribed mean curvature problem with Neumann boundary conditions in FLRW spacetimes

Schmitt Klaus

On the existence of nontrivial solutions of differential equations subject to linear constraints

Orsina Luigi, Ponce Augusto C.

Flat solutions of the 1-Laplacian equation

Clapp Mónica, Rizzi Matteo

Positive and nodal single-layered solutions to supercritical elliptic problems above the higher critical exponents

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

On general properties of n-th order retarded functional differential equations

Krisztin Tibor, Walther Hans-Otto

Smoothness issues in differential equations with state-dependent delay

Ponce Augusto C., Van Schaftingen Jean

Gauge-measurable functions

Ekeland Ivar

Hamilton-Jacobi on the symplectic group

Došlá Zuzana, Marini Mauro, Matucci Serena

Positive decaying solutions to BVPs with mean curvature operator

Mavinga Nsoki, Nkashama Mubenga N.

Bifurcation from infinity and multiplicity of solutions for nonlinear periodic boundary value problems

Rynne Bryan P.

Global stability, or instability, of positive equilibria of p-Laplacian boundary value problems with p-convex nonlinearities

Caicedo Francisco, Castro Alfonso, Duque Rodrigo, Sanjuán Arturo

The semilinear wave equation with non-monotone nonlinearity: a review

Franca Matteo, Johnson Russell

Remarks on nonautonomous bifurcation theory

Gurban Daniela, Jebelean Petru

Positive radial solutions for systems with mean curvature operator in Minkowski space

Margheri Alessandro, Ortega Rafael, Rebelo Carlota

On a family of Kepler problems with linear dissipation

Antón Inmaculada, López-Gómez Julián

Principal eigenvalues of weighted periodic-parabolic problems

Bonanno Gabriele

Dirichlet problems without asymptotic conditions on the nonlinear term

Sovrano Elisa, Zanolin Fabio

A periodic problem for first order differential equations with locally coercive nonlinearities

Massamba Fortuné, Ntumba Patrice P.

On sheaves of differential operators

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  • Publication
    Rendiconti dell’Istituto di matematica dell’Università di Trieste. An International Journal of Mathematics. Vol. 49 (2017)
    (EUT Edizioni Università di Trieste, 2017)
    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.
      230  959
  • Publication
    On sheaves of differential operators
    (EUT Edizioni Università di Trieste, 2017)
    Massamba, Fortuné
    ;
    Ntumba, Patrice P.
    Given a C∞ manifold X, denote by Cm / X the sheaf of m-times differentiable real-valued functions and by Dm,r / X the sheaf of differential operators of order ≤ m with coefficient functions of class C r . We prove that the natural morphism Dm−r,r / X → H omRX(Cm / X , Cr / X) is an isomorphism.
      310  129
  • Publication
    A periodic problem for first order differential equations with locally coercive nonlinearities
    (EUT Edizioni Università di Trieste, 2017)
    Sovrano, Elisa
    ;
    Zanolin, Fabio
    In this paper we study the periodic boundary value problem associated with a first order ODE of the form x' + g(t, x) = s where s is a real parameter and g is a continuous function, T-periodic in the variable t. We prove an Ambrosetti-Prodi type result in which the classical uniformity condition on g(t, x) at infinity is considerably relaxed. The Carathéodory case is also discussed.
      379  164
  • Publication
    Dirichlet problems without asymptotic conditions on the nonlinear term
    (EUT Edizioni Università di Trieste, 2017)
    Bonanno, Gabriele
    This paper is devoted, with my great esteem, to Jean Mawhin. Jean Mawhin, who is for me a great teacher and a very good friend, is a fundamental reference for the research in nonlinear differential problems dealt both with topological and variational methods. Here, owing to this occasion in honor of Jean Mawhin, Dirichlet problems depending on a parameter are investigated, ensuring the existence of non-zero solutions without requiring asymptotic conditions neither at zero nor at infinity on the nonlinear term which, in addition, is not forced by subcritical or critical growth. The approach is based on a combination of variational and topological tools that in turn are developed by starting from a fundamental estimate.
      340  153
  • Publication
    Principal eigenvalues of weighted periodic-parabolic problems
    (EUT Edizioni Università di Trieste, 2017)
    Antón, Inmaculada
    ;
    López-Gómez, Julián
    Based on a recent characterization of the strong maximum principle, [3], this paper gives some periodic parabolic counterparts of some of the results of Chapters 8 and 9 of J. L´opez-G´omez [22]. Among them count some pivotal monotonicity properties of the principal eigenvalue σ[P+V,B,QT ], as well as its concavity with respect to the periodic potential V through a point-wise periodic-parabolic Donsker–Varadhan min-max characterization. Finally, based on these findings, this paper sharpens, substantially, some classical results of A. Beltramo and P. Hess [4], K. J. Brown and S. S. Lin [6], and P. Hess [14] on the existence and uniqueness of principal eigenvalues for weighted boundary value problems.
      314  247