Results 101 to 110 of about 2,173 (142)

Elliptic operators on refined Sobolev scales on vector bundles

Open Mathematics, 2017
We introduce a refined Sobolev scale on a vector bundle over a closed infinitely smooth manifold. This scale consists of inner product Hörmander spaces parametrized with a real number and a function varying slowly at infinity in the sense of Karamata. We
Zinchenko Tetiana
doaj   +1 more source

On Copula-Itô processes

Dependence Modeling, 2019
We study the dynamics of the family of copulas {Ct}t≥0 of a pair of stochastic processes given by stochastic differential equations (SDE). We associate to it a parabolic partial differential equation (PDE). Having embedded the set of bivariate copulas in
Jaworski Piotr
doaj   +1 more source

An Agmon-Allegretto-Piepenbrink principle for Schrödinger operators. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat, 2022
Buccheri S, Orsina L, Ponce AC.
europepmc   +1 more source

On the best constants in Sobolev inequalities on the solid torus in the limit case p = 1

Advances in Nonlinear Analysis, 2016
In this paper, we analyze the problem of determining the best constants for the Sobolev inequalities in the limiting case where p=1${p=1}$. Firstly, the special case of the solid torus is studied, whenever it is proved that the solid torus is an extremal
Labropoulos Nikos, Rădulescu Vicenţiu D.   +1 more
doaj   +1 more source

A note on precised Hardy inequalities on Carnot groups and Riemannian manifolds

, 2010
We prove non local Hardy inequalities on Carnot groups and Riemannian manifolds, relying on integral representations of fractional Sobolev ...
Russ, Emmanuel, Sire, Yannick
core   +3 more sources

Inequalities for Green's operator applied to the minimizers

Journal of Inequalities and Applications, 2011
In this paper, we prove both the local and global Lφ -norm inequalities for Green's operator applied to minimizers for functionals defined on differential forms in Lφ -averaging domains.
Ding Shusen, Agarwal Ravi
doaj  

Regularity of one-sided multilinear fractional maximal functions

Open Mathematics, 2018
In this paper we introduce and investigate the regularity properties of one-sided multilinear fractional maximal operators, both in continuous case and in discrete case.
Liu Feng, Xu Lei
doaj   +1 more source

On the Sobolev space of functions with derivative of logarithmic order

Advances in Nonlinear Analysis, 2019
Two notions of “having a derivative of logarithmic order” have been studied. They come from the study of regularity of flows and renormalized solutions for the transport and continuity equation associated to weakly differentiable drifts.
Brué Elia, Nguyen Quoc-Hung
doaj   +1 more source

Dimension Distortion by Sobolev Mappings in Foliated Metric Spaces

Analysis and Geometry in Metric Spaces, 2013
We quantify the extent to which a supercritical Sobolev mapping can increase the dimension of subsets of its domain, in the setting of metric measure spaces supporting a Poincaré inequality. We show that the set of mappings that distort the dimensions of
Balogh Zoltán M., Tyson Jeremy T., Wildrick Kevin   +2 more
doaj   +1 more source

Existence of ground states to quasi-linear Schrödinger equations with critical exponential growth involving different potentials

Advanced Nonlinear Studies
The purpose of this paper is three-fold. First, we establish singular Trudinger–Moser inequalities with less restrictive constraint:(0.1)supu∈H1(R2),∫R2(|∇u|2+V(x)u2)dx≤1∫R2e4π1−β2u2−1|x ...
Zhang Caifeng, Zhu Maochun
doaj   +1 more source