Gauss—Bonnet Theorems in the Lorentzian Heisenberg Group and the Lorentzian Group of Rigid Motions of the Minkowski Plane [PDF]
Symmetry, 2021 The aim of this paper was to obtain Gauss–Bonnet theorems on the Lorentzian Heisenberg group and the Lorentzian group of rigid motions of the Minkowski plane.
Sining Wei, Yong Wang
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Critical nonlocal Schrödinger-Poisson system on the Heisenberg group
Advances in Nonlinear Analysis, 2021 In this paper, we are concerned with the following a new critical nonlocal Schrödinger-Poisson system on the Heisenberg group:
Liu Zeyi +4 more
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Concentration-compactness results for systems in the Heisenberg group [PDF]
Opuscula Mathematica, 2020 In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal.
Patrizia Pucci, Letizia Temperini
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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
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Nonlocal Harnack inequalities in the Heisenberg group [PDF]
Calculus of Variations and Partial Differential Equations, 2022 We deal with a wide class of nonlinear integro-differential problems in the Heisenberg-Weyl group Hn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Giampiero Palatucci, Mirco Piccinini
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Hölder Continuity and Boundedness Estimates for Nonlinear Fractional Equations in the Heisenberg Group [PDF]
Journal of Geometric Analysis, 2022 We extend the celebrate De Giorgi-Nash-Moser theory to a wide class of nonlinear equations driven by nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p -Laplacian operator on the Heisenberg-Weyl group $$\mathbb
M. Manfredini +3 more
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Sub-Lorentzian distance and spheres on the Heisenberg group [PDF]
Journal of dynamical and control systems, 2022 The left-invariant sub-Lorentzian problem on the Heisenberg group is considered. An optimal synthesis is constructed, the sub-Lorentzian distance and spheres are described.
Y. Sachkov, E. Sachkova
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Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group [PDF]
Journal of Functional Analysis, 2018 Lu Chen, Guozhen Lu, Chunxia Tao
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On the dimension of Kakeya sets in the first Heisenberg group [PDF]
, 2021 We define Kakeya sets in the Heisenberg group and show that the Heisenberg Hausdorff dimension of Kakeya sets in the first Heisenberg group is at least 3.
Jiayin Liu
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On the critical Choquard-Kirchhoff problem on the Heisenberg group
Advances in Nonlinear Analysis, 2022 In this paper, we deal with the following critical Choquard-Kirchhoff problem on the Heisenberg group of the form: M ( ‖ u ‖ 2 ) ( − Δ H u + V ( ξ ) u ) = ∫ H N ∣ u ( η ) ∣ Q λ ∗ ∣ η − 1 ξ ∣ λ d η ∣ u ∣ Q λ ∗ − 2 u + μ f ( ξ , u ) , M\left(\Vert u{\Vert }
Xueqi Sun, Yueqiang Song, Sihua Liang
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