Results 71 to 80 of about 2,300 (225)

Coercive Inequalities on Carnot Groups: Taming Singularities [PDF]

open access: green, 2021
Esther Bou Dagher   +1 more
openalex   +1 more source

Where Mathematical Symbols Come From

open access: yesTopics in Cognitive Science, EarlyView.
Abstract There is a sense in which the symbols used in mathematical expressions and formulas are arbitrary. After all, arithmetic would be no different if we would replace the symbols ‘+$+$’ or ‘8’ by different symbols. Nevertheless, the shape of many mathematical symbols is in fact well motivated in practice.
Dirk Schlimm
wiley   +1 more source

c horizontal convexity on Carnot groups

open access: yes, 2010
Given a real-valued function $c$ defined on the cartesian product of a generic Carnot group $\G$ and the first layer $V_1$ of its Lie algebra, we introduce a notion of $c$ horizontal convex ($c$ H-convex) function on $\G$ as the supremum of a suitable family of affine functions; this family is defined pointwisely, and depends strictly on the horizontal
CALOGERO, ANDREA GIOVANNI, PINI, RITA
openaire   +4 more sources

Elements of Potential Theory on Carnot Groups

open access: yesFunctional Analysis and Its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruzhansky, MV, Suragan, D
openaire   +4 more sources

Partial interior regularity for sub-elliptic systems with Dini continuous coefficients in Carnot groups: the sub-quadratic controllable case

open access: yesBoundary Value Problems, 2017
We consider nonlinear sub-elliptic systems with Dini continuous coefficients for the case 1 < m < 2 $1 ...
Dongni Liao   +3 more
doaj   +1 more source

Copper‐Catalyzed Intramolecular Hydrophosphorylation of Alkynes: Straightforward Regio‐ and Stereoselective Access to Six‐Membered Phosphorus Heterocycles

open access: yesEuropean Journal of Organic Chemistry, Volume 28, Issue 48, December 22, 2025.
Ready access to six‐membered phosphorus heterocycles through copper‐catalyzed intramolecular hydrophosphorylation of ortho‐alkynyl secondary phosphine oxides is described. The reaction proceedes with high regio‐ and stereoselectivity. An atom‐economic copper‐catalyzed intramolecular hydrophosphorylation of ortho‐alkynyl secondary phosphine oxides ...
Hamdi Sanaa   +3 more
wiley   +1 more source

Differential forms in Carnot groups: a variational approach

open access: yesBruno Pini Mathematical Analysis Seminar, 2011
Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
doaj  

Yamabe-Type Equations on Carnot Groups

open access: yesPotential Analysis, 2016
This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a smooth and bounded domain $D$ of the {Heisenberg group}
Molica Bisci G, Repovs D
openaire   +6 more sources

Schrödinger–Hardy system without the Ambrosetti–Rabinowitz condition on Carnot groups

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
In this paper, we study the following Schrödinger–Hardy system \begin{equation*} \begin{cases} -\Delta_{\mathbb{G}}u-\mu\frac{\psi^2}{r(\xi)^2}u=F_u(\xi,u,v)\ &{\rm in}\ \Omega, \\ -\Delta_{\mathbb{G}}v-\nu\frac{\psi^2 }{r(\xi)^2}v=F_v(\xi,u,v)\
Wenjing Chen, Fang Yu
doaj   +1 more source

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