Results 1 to 8 of about 8 (8)

Sobolev-Gaffney type inequalities for differential forms on sub-Riemannian contact manifolds with bounded geometry

Advanced Nonlinear Studies, 2022
In this article, we establish a Gaffney type inequality, in Wℓ,p{W}^{\ell ,p}-Sobolev spaces, for differential forms on sub-Riemannian contact manifolds without boundary, having bounded geometry (hence, in particular, we have in mind noncompact manifolds)
Baldi Annalisa, Tesi Maria Carla, Tripaldi Francesca   +2 more
doaj   +1 more source

Trauma, immigration, and sexual health among Latina women: Implications for maternal–child well‐being and reproductive justice

Infant Mental Health Journal: Infancy and Early Childhood, Volume 40, Issue 5, Page 640-658, September/October 2019., 2019
ABSTRACT Latina immigrant women are vulnerable to traumatic stress and sexual health disparities. Without autonomy over their reproductive health and related decision‐making, reproductive justice is elusive. We analyzed behavioral health data from 175 Latina immigrant participants (M age = 35; range = 18–64) of the International Latino Research ...
Lisa R. Fortuna, Carmen Rosa Noroña, Michelle V. Porche, Cathi Tillman, Pratima A. Patil, Ye Wang, Sheri Lapatin Markle, Margarita Alegría   +7 more
wiley   +1 more source

Ar (λ)‐weighted Caccioppoli‐type and Poincaré‐type inequalities for A‐harmonic tensors

International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 2, Page 115-122, 2002., 2002
We prove a local version of weighted Caccioppoli‐type inequality, then we prove a version of weighted Poincaré‐type inequality for A‐harmonic tensors both locally and globally. Ar(λ)-weighted Caccioppoli-type and Poincaré-type inequalities for A-harmonic tensors (erratum)dx.doi.org/10.1155 ...
Bing Liu
wiley   +1 more source

An application of stress energy tensor to the vanishing theorem of differential forms

International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 4, Page 675-682, 1988., 1988
The author applies the stress energy of differential forms to study the vanishing theorems of the Liouville type. It is shown that for a large class of underlying manifolds such as the Euclidean n‐space, the complex n‐space, and the complex hyperbolic space form, if any vector bundle valued p‐form with conservative stress energy tensor is of finite ...
Kairen Cai
wiley   +1 more source

On the heat kernel of the Rumin complex and Calderón reproducing formula

Analysis and Geometry in Metric Spaces
We derive several properties of the heat equation with the Hodge operator associated with the Rumin’s complex on Heisenberg groups and prove several properties of the fundamental solution.
Ciatti Paolo, Franchi Bruno, Sire Yannick   +2 more
doaj   +1 more source

Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

Advanced Nonlinear Studies
On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
doaj   +1 more source

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  

Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature. [PDF]

Arch Math
Honda S, Mondino A.
europepmc   +1 more source