Results 31 to 40 of about 195 (41)

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
core   +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

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

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

Riesz transform and vertical oscillation in the Heisenberg group

, 2019
We study the $L^{2}$-boundedness of the $3$-dimensional (Heisenberg) Riesz transform on intrinsic Lipschitz graphs in the first Heisenberg group $\mathbb{H}$.
Fässler, Katrin, Orponen, Tuomas
core  

$C^{1,\alpha}$-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