Results 31 to 40 of about 202 (42)

Gagliardo-Nirenberg Inequalities for Differential Forms in Heisenberg Groups

, 2015
The L 1-Sobolev inequality states that the L n/(n--1)-norm of a compactly supported function on Euclidean n-space is controlled by the L 1-norm of its gradient.
Baldi, Annalisa, Franchi, Bruno, Pansu, Pierre   +2 more
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Existence for (p, q) critical systems in the Heisenberg group

Advances in Nonlinear Analysis, 2019
This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
doaj   +1 more source

Stable solutions of symmetric systems involving hypoelliptic operators

, 2018
Please see the article for the abstract.Comment: To appear in Journal of Functional Analysis in March 2018. 33 pages in journal format.
Fazly, Mostafa
core   +1 more source

On a critical Choquard-Kirchhoff p-sub-Laplacian equation in ℍn

Analysis and Geometry in Metric Spaces
This article is devoted to the study of a critical Choquard-Kirchhoff pp-sub-Laplacian equation on the entire Heisenberg group Hn{{\mathbb{H}}}^{n}, where the Kirchhoff function KK can be zero at zero, i.e., the equation can be degenerate, and involving ...
Liang Sihua, Pucci Patrizia, Song Yueqiang, Sun Xueqi   +3 more
doaj   +1 more source

On an evolution equation in sub-Finsler geometry

Analysis and Geometry in Metric Spaces
We study the gradient flow of an energy with mixed homogeneity, which is at the interface of Finsler and sub-Riemannian geometry.
Garofalo Nicola
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

Bourgain-Brezis Estimates on Symmetric Spaces of Non-compact Type

, 2017
Let M be a globally Riemannian symmetric space. We prove a duality estimate between pairings of vector fields with divergence zero and and in L^1 with vector fields in a critical Sobolev space on M.
Chanillo, Sagun, Van Schaftingen, Jean, Yung, Po-lam   +2 more
core   +1 more source

On Kirchhoff-Schrödinger-Poisson-type systems with singular and critical nonlinearity

Advances in Nonlinear Analysis
This work focuses on the Kirchhoff-Schrödinger-Poisson-type system with singular term and critical Sobolev nonlinearity as follows: −a+b∫Ω∣∇u∣pdxΔpu+ϕ∣u∣q−2u=λu−γ+∣u∣p∗−2uinΩ,−Δϕ=∣u∣qinΩ,u=ϕ=0on∂Ω,\left\{\begin{array}{ll}-\left(a+b\mathop{\displaystyle ...
Yang Baoling, Zhang Deli, Liang Sihua
doaj   +1 more source

Arkansas Soybean Performance Tests 2008 [PDF]

, 2009
Soybean cultivar performance tests are conducted each year in Arkansas by the University of Arkansas Division of Agriculture. The tests provide information to companies developing cultivars and/or marketing seed within the state, and aid the Arkansas ...
Bond, R. D., Dombek, D. G., Eldridge, I. L., Pryor, R. M.   +3 more
core   +1 more source

$C^{1,\alpha}$-Regularity of Quasilinear equations on the Heisenberg Group

, 2018
In this article, we reproduce results of classical regularity theory of quasilinear elliptic equations in the divergence form, in the setting of Heisenberg Group.
Mukherjee, Shirsho
core