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On a critical Choquard-Kirchhoff p-sub-Laplacian equation in ℍn
Analysis and Geometry in Metric SpacesThis 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 +3 more
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Advanced Nonlinear StudiesOn 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
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Best constants in subelliptic fractional Sobolev and Gagliardo-Nirenberg inequalities and ground states on stratified Lie groups. [PDF]
Calc Var Partial Differ EquGhosh S, Kumar V, Ruzhansky M.
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Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group
Communications in Partial Differential Equations, 2023Biagio Cassano +2 more
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Nonlinear nonhomogeneous Neumann problem on the Heisenberg group
Applicable Analysis, 2022Abdolrahman Razani
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Microlocal Weyl formula on contact manifolds
Communications in Partial Differential Equations, 2020Michael Taylor
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Existence of radial solutions of the Kohn–Laplacian problem
Complex Variables and Elliptic Equations, 2022Abdolrahman Razani
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The parabolic infinite-Laplace equation in Carnot groups
Michigan Mathematical Journal, 2016Thomas Bieske
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Some remarks on gradient-type systems on the Heisenberg group
Complex Variables and Elliptic Equations, 2020Luigi D'Onofrio
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