Results 1 to 10 of about 247 (40)
Bulletin of Mathematical Sciences, 2016 We prove geometric $$L^p$$ L p versions of Hardy’s inequality for the sub-elliptic Laplacian on convex domains $$\Omega $$ Ω in the Heisenberg group $$\mathbb {H}^n$$ H n , where convex is meant in the Euclidean sense.
Simon Larson
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The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus
Advanced Nonlinear Studies, 2023 In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω\Omega of the CR manifold S3{{\mathbb{S}}}^{3} bounded by the Clifford torus Σ\Sigma is discussed.
Case Jeffrey S. +4 more
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Hardy-type inequalities on a half-space in the Heisenberg group
Journal of Inequalities and Applications, 2013 We prove some Hardy-type inequalities on half-spaces for Kohn’s sub-Laplacian in the Heisenberg group. Furthermore, the constants we obtained are sharp.MSC:26D10, 35H20.
Hengxing Liu, Jing-Wen Luan
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Harnack inequality for subelliptic p-Laplacian equations of Schrödinger type
Journal of Inequalities and Applications, 2013 In this paper, we establish the Harnack inequality for weak solutions of nonlinear subelliptic p-Laplacian equations of Schrödinger type −∑k=1mXk∗(〈A(x)Xu(x),Xu(x)〉p−22A(x)Xku(x))+V(x)|u(x)|p−2u(x)=f(x) when the singular potential V is in the Kato ...
Yuxing Guo, Yin-sheng Jiang
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Decay estimates for fractional wave equations on H-type groups [PDF]
, 2016 The aim of this paper is to establish the decay estimate for the fractional wave equation semigroup on H-type groups given by $e^{it\Delta^\alpha ...
Song, Manli
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Advances in Nonlinear Analysis, 2020 We consider nonlinear sub-elliptic systems with VMO-coefficients for the case 1 < p < 2 under controllable growth conditions, as well as natural growth conditions, respectively, in the Heisenberg group.
Wang Jialin +3 more
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Advances in Nonlinear Analysis, 2018 We consider nonlinear sub-elliptic systems with VMO-coefficients in the Heisenberg group and prove partial Hölder continuity results for weak solutions using a generalization of the technique of 𝒜{\mathcal{A}}-harmonic approximation.
Wang Jialin, Manfredi Juan J.
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Weighted Poincaré inequalities on half spaces in Carnot groups
, 2016 We prove some weighted Poincaré inequalities on half spaces for the sublaplacian in Carnot groups. Furthermore, the constants we obtain are sharp. Mathematics subject classification (2010): 26D15, 35H20.
Baosh ng Lian, Yan Xu
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Subelliptic Bourgain-Brezis Estimates on Groups [PDF]
, 2008 We show that divergence free vector fields which belong to L^1 on stratified, nilpotent groups are in the dual space of functions whose sub-gradient are L^Q integrable where Q is the homogeneous dimension of the group.
Chanillo, Sagun, Van Schaftingen, Jean
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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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