Results 1 to 10 of about 32 (26)
Inequalities for Green's operator applied to the minimizers [PDF]
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
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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 +2 more
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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 +7 more
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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
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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
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On the heat kernel of the Rumin complex and Calderón reproducing formula
Analysis and Geometry in Metric SpacesWe 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 +2 more
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Advanced Nonlinear StudiesOn 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
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Transverse Parabolic Structures and Transverse BGG Sequences
Manifolds endowed with a parabolic geometry in the sense of Cartan come with natural sequences of differential operators and their analysis provide the so called (curved) BGG sequence of Cap, Slovak and Soucek.
Cren, Clémen
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Equivalence Of Nonlinear Systems To Prime Systems Under Generalized Output Transformations
. Within a linear algebraic framework, we present a new characterization of the class of nonlinear systems which are equivalent to a prime system. We then introduce a class of generalized output transformations that can be thought of as a generalization ...
E. Aranda-bricaire +2 more
core
Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature. [PDF]
Arch MathHonda S, Mondino A.
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