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We investigate the problem of entire solutions for a class of fourth order, dilation invariant, semilinear elliptic equations with power-type weights and with subcritical or critical growth in the nonlinear term. These equations define non…

Analysis of PDEs · Mathematics 2014-06-23 Paolo Caldiroli , Gabriele Cora

We consider nonlinear elliptic equations which contains global coupling as a nonlinear term. We classify the existence of all possible positive solutions to this problem.

Analysis of PDEs · Mathematics 2008-11-03 Shinji Kawano

We prove existence results of complex-valued solutions for a semilinear Schr\"odinger equation with critical growth under the perturbation of an external electromagnetic field. Solutions are found via an abstract perturbation result in…

Analysis of PDEs · Mathematics 2007-05-23 S. Barile , S. Cingolani , S. Secchi

Exceptional points are singularities of the spectrum and wave functions which occur in connection with level repulsion. They are accessible in experiments using dissipative systems. It is shown that the wave function at an exceptional point…

Quantum Physics · Physics 2009-11-06 W. D. Heiss , H. L. Harney

We enumerate the number of isoclinism classes of semi-extraspecial $p$-groups with derived subgroup of order $p^2$. To do this, we enumerate $\text{GL}(2, p)$-orbits of sets of irreducible, monic polynomials in $\mathbb{F}_p[x]$. Along the…

Group Theory · Mathematics 2020-04-22 Mark L. Lewis , Joshua Maglione

We give some Korovkin-type theorems on convergence and estimates of rates of approximations of nets of functions, satisfying suitable axioms, whose particular cases are filter/ideal convergence, almost convergence and triangular…

Functional Analysis · Mathematics 2021-01-15 Antonio Boccuto , Xenofon Dimitriou

We develop axiomatics of highest weight categories and quasi-hereditary algebras in order to incorporate two semi-infinite situations which are in Ringel duality with each other; the underlying posets are either upper finite or lower…

Representation Theory · Mathematics 2024-07-11 Jonathan Brundan , Catharina Stroppel

We present a survey of some aspects and new results on configurations, i.e. disjoint unions of constellations of infinitely near points, local and global theory, with some applications and results on generalized Enriques diagrams, singular…

Algebraic Geometry · Mathematics 2008-12-02 Antonio Campillo , Gerard Gonzalez-Sprinberg , Francisco Monserrat

Hyperelliptic mapping class groups are defined either as the centralizers of hyperelliptic involutions inside mapping class groups of oriented surfaces of finite type or as the inverse images of these centralizers by the natural…

Geometric Topology · Mathematics 2024-02-12 Marco Boggi

We study properties of relative types of plurisubharmonic functions with respect to maximal plurisubharmonic weights. It is shown that they give a general form for upper semicontinuous, tropically additive functionals on plurisubharmonic…

Complex Variables · Mathematics 2007-05-23 Alexander Rashkovskii

Let $(f, g)$ be a pair of complex analytic functions on a singular analytic space $X$. We give ``the correct'' definition of the relative polar curve of $(f, g)$, and we give a very formal generalization of L\^e's attaching result, which…

Algebraic Geometry · Mathematics 2007-05-23 David B. Massey

We study infinitesimal generators of one-parameter semigroups in the unit disk $\mathbb D$ having prescribed boundary regular fixed points. Using an explicit representation of such infinitesimal generators in combination with Krein-Milman…

Complex Variables · Mathematics 2020-03-09 Manuel D. Contreras , Santiago Díaz-Madrigal , Pavel Gumenyuk

In 1995 Grillet introduced the concept of a stratified semigroup as a kind of generalisation of finite nilsemigroups. We extend these ideas here by allowing a more general Base and describe them in terms of extensions of semigroups by…

Group Theory · Mathematics 2024-03-19 James Renshaw , William Warhurst

Convex sets of completely positive maps and positive semidefinite kernels are considered in the most general context of modules over $C^*$-algebras and a complete charaterization of their extreme points is obtained. As a byproduct, we…

Quantum Physics · Physics 2014-03-05 Juha-Pekka Pellonpää

In the affine fragment of continuous logic, type spaces are compact convex sets. I study some model theoretic properties of extreme types. It is proved that every complete theory $T$ has an extremal model, i.e. a model which realizes only…

Logic · Mathematics 2024-01-17 Seyed-Mohammad Bagheri

We show analogues of the classical Krein-Milman theorem for several ordered algebraic structures, especially in a semilattice (non-linear) framework. In that case, subsemilattices are seen as convex subsets, and for our proofs we use…

Functional Analysis · Mathematics 2014-05-30 Paul Poncet

We propose in this paper to study the solutions of some nonlinear elliptic equations with singular potential.

Analysis of PDEs · Mathematics 2015-10-06 Anouar Ben Mabrouk

We show how finite limits and colimits can be calculated compositionally using the algebras of spans and cospans, and give as an application a proof of the Kleene Theorem on regular languages.

Category Theory · Mathematics 2007-12-18 R. Rosebrugh , N. Sabadini , R. F. C. Walters

Recently, Lax operator algebras appeared as a new class of higher genus current type algebras. Based on I.Krichever's theory of Lax operators on algebraic curves they were introduced by I. Krichever and O. Sheinman. These algebras are…

Quantum Algebra · Mathematics 2015-06-15 Martin Schlichenmaier

The classical multivariate extreme-value theory concerns the modeling of extremes in a multivariate random sample, suggesting the use of max-stable distributions. In this work, the classical theory is extended to the case where aggregated…

Methodology · Statistics 2020-03-12 Enkelejd Hashorva , Simone A. Padoan , Stefano Rizzelli