Hardy-Sobolev type inequalities on the H-type group

DOI10.1007/s00229-005-0589-7zbMath1078.22004OpenAlexW2069031163MaRDI QIDQ2573739

Ya Zhou Han, Peng Cheng Niu

Publication date: 24 November 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-005-0589-7

zbMATH Keywords

sharp constantsconcentration-compactness principleH-type groupHardy-Sobolev type inequalities

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Subelliptic equations (35H20)

Related Items (14)

Multiple non-negative solutions to a semilinear equation on Heisenberg group with indefinite nonlinearity ⋮ Weighted Caffarelli-Kohn-Nirenberg type inequality on the Heisenberg group ⋮ Sharp weighted Hardy type inequalities and Hardy-Sobolev type inequalities on polarizable Carnot groups ⋮ Best constants in the Hardy-Rellich inequalities and related improvements ⋮ \(L^p\)-weak regularity and asymptotic behavior of solutions for critical equations with singular potentials on Carnot groups ⋮ A variant of the Hardy inequality ⋮ Weighted Caffarelli-Kohn-Nirenberg type inequalities related to Grushin type operators ⋮ Sub-elliptic problems with multiple critical Sobolev-Hardy exponents on Carnot groups ⋮ On the existence and multiplicity of solutions for a class of sub-Laplacian problems involving critical Sobolev–Hardy exponents on Carnot groups ⋮ On criticality coupled sub-Laplacian systems with Hardy type potentials on stratified Lie groups ⋮ On first order interpolation inequalities with weights on the Heisenberg group ⋮ On first order interpolation inequalities with weights on the H-type group ⋮ A class of Caffarelli-Kohn-Nirenberg type inequalities on the \(H\)-type group ⋮ Critical growth problems with singular nonlinearities on Carnot groups

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