Results 1 to 10 of about 35 (22)
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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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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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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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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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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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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Weighted Caffarelli–Kohn–Nirenberg type inequalities related to Grushin type operators
Advances in Nonlinear Analysis, 2016 We consider the Grushin type operator on ℝxd×ℝyk{\mathbb{R}^{d}_{x}\times\mathbb{R}^{k}_{y}} of the ...
Song Manli, Li Wenjuan
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Existence results for critical growth Kohn-Laplace equations with jumping nonlinearities
Demonstratio MathematicaThis article is concerned with the existence of nontrivial solutions to critical growth Kohn-Laplace equations with jumping nonlinearities. Or, more specifically, we consider the following Kohn-Laplace problem: −ΔHu=bu+−au−+∣u∣Q∗−2u,inΩ,u=0,on∂Ω,\left ...
An Yu-Cheng, Tian Guai-Qi, An Bi-Jun
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