Marò, Stefano
Published in
Annales Henri Poincaré

We consider the model describing the vertical motion of a ball falling with constant acceleration on a wall and elastically reflected. The wall is supposed to move in the vertical direction according to a given periodic function f. We show that a modification of a method of Angenent based on sub- and super-solutions can be applied in order to detec...

Hegenbarth, Friedrich Pamuk, Mehmetcik Repovš, Dušan
Published in
Mediterranean Journal of Mathematics

The aim of this paper is to give an s-cobordism classification of topological 4 manifolds in terms of the standard invariants using the group of homotopy self-equivalences. Hambleton and Kreck constructed a braid to study the group of homotopy self-equivalences of 4-manifolds. Using this braid together with the modified surgery theory of Kreck, we ...

Karimov, Umed H. Repovš, Dušan
Published in
Mediterranean Journal of Mathematics

The main results of this paper are: (1) If a space X can be embedded as a cellular subspace of Rn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{R}^n}$$\end{do...

Tanturri, Fabio
Published in
Archiv der Mathematik

We prove that the Hilbert scheme of degeneracy loci of pairs of global sections of ΩPn-1(2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\Omega_{\mathbb{P}^{n-1}}^{}...

Merca, Mircea
Published in
Aequationes mathematicae

In this paper we give a convolution identity for complete and elementary symmetric functions. This result can be used to prove and discover some combinatorial identities involving r-Stirling numbers, r-Whitney numbers and q-binomial coefficients. As a corollary we derive a generalization of the quantum Vandermonde’s convolution identity.

Ginoux, Jean-Marc
Published in
Qualitative Theory of Dynamical Systems

During this last decades, several attempts to construct slow invariant manifold of the Lorenz–Krishnamurthy five-mode model of slow–fast interactions in the atmosphere have been made by various authors. Unfortunately, as in the case of many two-time scales singularly perturbed dynamical systems the various asymptotic procedures involved for such a ...

Kurke, Herbert Osipov, Denis Zheglov, Alexander
Published in
Selecta Mathematica

Several algebro-geometric properties of commutative rings of partial differential operators (PDOs) as well as several geometric constructions are investigated. In particular, we show how to associate a geometric data by a commutative ring of PDOs, and we investigate the properties of these geometric data. This construction is in some sense similar ...

Malinowski, Helena Weber, Martin R.
Published in
Positivity

Finite elements, which are well-known and studied in the framework of vector lattices, are investigated in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell $$\end{d...

Bufetov, Alexander I.
Published in
Bulletin of Mathematical Sciences

A point process is said to be rigid if for any bounded domain in the phase space, the number of particles in the domain is almost surely determined by the restriction of the configuration to the complement of our bounded domain. The main result of this paper is that determinantal point processes with the Airy, the Bessel and the Gamma kernels are r...

Ghoussoub, Nassif Robert, Frédéric
Published in
Bulletin of Mathematical Sciences

In this survey paper, we consider variational problems involving the Hardy–Schrödinger operator Lγ:=-Δ-γ|x|2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_\gamma :=-...