Results 21 to 30 of about 44 (44)

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

On the double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$

Advanced Nonlinear Studies
This paper investigates the existence and multiplicity of solutions to the following double critical p-fractional Schrödinger–Poisson system with electromagnetic fields in R3 ${\mathbb{R}}^{3}$ :ϵps−Δp,Aϵsu+V(x)|u|p−2u−ϕ|u|ps♯−2u=|u|ps*−2u+gx,|u|p|u|p−2u 
He Xian, Liang Sihua, Pucci Patrizia
doaj   +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

Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]

Calc Var Partial Differ Equ
Ghosh S, Kumar V, Ruzhansky M.
europepmc   +1 more source

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Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group

Communications in Partial Differential Equations, 2023
Dario Prandi, Biagio Cassano, Valentina Franceschi   +2 more
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Critical problems with Hardy potential on Stratified Lie Groups

Advances in Differential Equations, 2023
Annunziata Loiudice
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Multiplicity of solutions for the degenerate Kirchhoff system with critical nonlinearity on the Heisenberg group

Differential and Integral Equations, 2022
Sihua Liang
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Existence of radial solutions of the Kohn–Laplacian problem

Complex Variables and Elliptic Equations, 2022
Abdolrahman Razani, F Safari
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Nonlinear nonhomogeneous Neumann problem on the Heisenberg group

Applicable Analysis, 2022
Abdolrahman Razani
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A new Kirchhoff-Schrödinger-Poisson type system on the Heisenberg group

Differential and Integral Equations, 2021
exaly