Results 41 to 50 of about 221 (157)

Compactifications of strata of differentials

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3621-3636, December 2025.
Abstract In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1‐forms on Riemann surfaces, that is, spaces of translation surfaces. In the last decade, several of these have been constructed, studied, and successfully applied to problems.
Benjamin Dozier
wiley   +1 more source

Existence of Weak Solutions for Nonlinear Fractional Differential Inclusion with Nonseparated Boundary Conditions

Journal of Applied Mathematics, 2012
We discuss the existence of solutions, under the Pettis integrability assumption, for a class of boundary value problems for fractional differential inclusions involving nonlinear nonseparated boundary conditions.
Wen-Xue Zhou, Hai-Zhong Liu
doaj   +1 more source

Boundary representations of locally compact hyperbolic groups

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley   +1 more source

Radon–Nikodým indexes and measures of weak noncompactness

Journal of Functional Analysis, 2014
The authors introduce and study certain indices related to the Radon-Nikodým property in Banach spaces. Interesting quantitative versions of classic results in RNP are proved. Let \(E\) be a Banach space and \((\Omega,\Sigma,\mu)\) a complete probability space.
B. Cascales, A. Pérez, M. Raja
openaire   +2 more sources

Explicit height estimates for CM curves of genus 2

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM and potentially good reduction outside a predefined set of primes. We also simplify some of the arguments.
Linda Frey, Samuel Le Fourn, Elisa Lorenzo García   +2 more
wiley   +1 more source

Barycenters of measures on certain noncompact convex sets [PDF]

Transactions of the American Mathematical Society, 1971
Each norm closed and bounded convex subset K of a separable dual Banach space is, according to a theorem of Bessaga and Pelczynski, the norm closed convex hull of its extreme points. It is natural to expect that this theorem may be reformulated as an integral representation theorem, and in this connection we have examined the extent to which the ...
openaire   +2 more sources

Floer theory for the variation operator of an isolated singularity

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae, Cheol‐Hyun Cho, Dongwook Choa, Wonbo Jeong   +3 more
wiley   +1 more source

Some New Properties in Fredholm Theory, Schechter Essential Spectrum, and Application to Transport Theory

Journal of Inequalities and Applications, 2008
The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most important classical definitions.
Dehici Abdelkader, Abdelmoumen Boulbeba, Jeribi Aref, Mnif Maher   +3 more
doaj  

Existence Results for an Implicit Coupled System Involving $\xi$-Caputo and $p$-Laplacian Operators [PDF]

Sahand Communications in Mathematical Analysis
This paper aims to establish the existence and uniqueness of a solution to a coupled system of $\xi$-Caputo fractional differential equations involving the $p$-Laplacian operator in an arbitrary Banach space.
Walid Benhadda, Abderrazak Kassidi, Ali El Mfadel, Elomari M'hamed   +3 more
doaj   +1 more source

A POINT OF VIEW ON MEASURES OF NONCOMPACTNESS

Demonstratio Mathematica, 1993
The author presents a general scheme of construction of measures of noncompactness and an example of application in the theory of nonlinear differential equations.
openaire   +2 more sources