Zobrazeno 1 - 10
of 5 315
pro vyhledávání: '"heisenberg group"'
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 12, Iss 1, Pp 135-159 (2024)
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 involv
Externí odkaz:
https://doaj.org/article/47c66eff3d844ef98e227b4973f2557f
Autor:
Takeshi Suguro
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-12 (2024)
Abstract We consider the logarithmic Sobolev inequality on the Heisenberg group. One can derive the logarithmic Sobolev inequality from the Sobolev inequality, and we consider an application to the uncertainty inequality on the Heisenberg group. More
Externí odkaz:
https://doaj.org/article/e7c0221f5bde4676a713261584af9dfd
Autor:
Wei Juncheng, Wu Ke
Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 1, Pp 189-205 (2024)
We consider a parabolic nonlinear equation on the Heisenberg group. Applying the Gidas–Spruck type estimates, we prove that under suitable conditions, the equation does not have positive solutions. As an application of the nonexistence result, we p
Externí odkaz:
https://doaj.org/article/2bb9f39e25804528bdbc85e70ac35d39
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-16 (2024)
Abstract In this work, we study the following Schrödinger-Poisson system { − Δ H u + μ ϕ u = λ u − γ , in Ω , − Δ H ϕ = u 2 , in Ω , u > 0 , in Ω , u = ϕ = 0 , on ∂ Ω , $$ \textstyle\begin{cases} -\Delta _{H}u+\mu \phi u=\lambda
Externí odkaz:
https://doaj.org/article/f4650a6f0a6141e399f0bb1e30b2e0d4
Akademický článek
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Autor:
Giampiero Palatucci, Mirco Piccinini
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 14, Iss 2, Pp 163-200 (2024)
We deal with a wide class of nonlinear nonlocal equations led by integro-differential operators of order (s,p), with summability exponent p in (1,∞) and differentiability order s in (0,1), whose prototype is the fractional subLaplacian in the Heise
Externí odkaz:
https://doaj.org/article/8f606625fbe44c40a612ffb7071411f7
Autor:
Wei Juncheng, Wu Ke
Publikováno v:
Advanced Nonlinear Studies, Vol 23, Iss 1, Pp 385-406 (2023)
By applying the gluing method, we construct infinitely many axial symmetric singular positive solutions to the Lane-Emden equation: ΔHu+up=0,inHn\{0}{\Delta }_{{\mathbb{H}}}u+{u}^{p}=0\left,\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{
Externí odkaz:
https://doaj.org/article/013c38627ff74ea6ae776653690779ea
Autor:
Hu Yunyun
Publikováno v:
Advances in Nonlinear Analysis, Vol 12, Iss 1, Pp 825-836 (2023)
In this article, we establish some reverse weighted Hardy-Littlewood-Sobolev inequalities on the Heisenberg group. We then show the existence of extremal functions for the above inequalities by combining the subcritical approach and the renormalizati
Externí odkaz:
https://doaj.org/article/499ffee5b19e4d999103aba8c12ed122
Autor:
Shi Wei
Publikováno v:
Open Mathematics, Vol 21, Iss 1, Pp 2285-2294 (2023)
In this article, the Liouville theorems for the Kirchhoff-type parabolic equations on the Heisenberg group were established. The main technique for proving the result relies on the method of test functions.
Externí odkaz:
https://doaj.org/article/cedc01d8644a401ebf14d20666590c76