Results 81 to 90 of about 12,503,673 (230)

Where Mathematical Symbols Come From

Topics 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

Quasilinear elliptic equations with critical potentials

Advances in Nonlinear Analysis, 2017
We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley   +1 more source

Differential forms in Carnot groups: a variational approach

Bruno 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  

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

Boundary Value Problems, 2017
We consider nonlinear sub-elliptic systems with Dini continuous coefficients for the case 1 < m < 2 $1 ...
Dongni Liao, Jialin Wang, Qiang Yang, Shimin Wu   +3 more
doaj   +1 more source

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

Electronic 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

Coercive Inequalities on Carnot Groups: Taming Singularities [PDF]

, 2022
Esther Bou Dagher, Bogusław Zegarliński   +1 more
openalex   +1 more source

Distinct Outflow Dynamics and Cloud Properties in Rapidly Intensifying Tropical Cyclones

Geophysical Research Letters, Volume 52, Issue 19, 16 October 2025.
Abstract The role of upper‐level outflow in tropical cyclone (TC) rapid intensification (RI) remains poorly quantified compared to thermodynamic drivers. Combining high‐resolution satellite observations and statistical modeling, this study reveals distinct outflow dynamics and cloud properties differentiating RI from slow‐intensifying (SI‐1/SI‐2) TCs ...
Yangyong Ou, Zuhang Wu, Yanqiong Xie, Qiangyue Xiang   +3 more
wiley   +1 more source

Representation formulas and Fatou-Kato theorems for heat operators on stratified groups [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 2005
In this note, we provide a characterization of non-negative L-caloric functions on strips, where L is a sub-Laplacian on a stratified group. We prove representation results, Fatou-type and uniqueness theorems analogous to the classical Poisson Stieltjes ...
Andrea Bonfiglioli, Francesco Uguzzoni
doaj  

On Rectifiable Measures in Carnot Groups: Existence of Density. [PDF]

J Geom Anal, 2022
Antonelli G, Merlo A.
europepmc   +1 more source