Some Hardy inequalities on the Heisenberg group
From MaRDI portal
Publication:2387921
DOI10.1023/B:DIEQ.0000035792.47401.2azbMath1073.22003OpenAlexW2112616850MaRDI QIDQ2387921
Publication date: 5 September 2005
Published in: Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/b:dieq.0000035792.47401.2a
Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)
Related Items (41)
Existence of radial solutions of the Kohn–Laplacian problem ⋮ Existence of positive radial solution for Neumann problem on the Heisenberg group ⋮ Weighted Caffarelli-Kohn-Nirenberg type inequality on the Heisenberg group ⋮ Existence of radial solutions for a weighted \(p\)-biharmonic problem with Navier boundary condition on the Heisenberg group ⋮ Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group ⋮ Hardy-type inequalities derived from \(p\)-harmonic problems ⋮ Horizontal weighted Hardy-Rellich type inequalities on stratified Lie groups ⋮ Hardy inequalities for the Heisenberg Laplacian on convex bounded polytopes ⋮ Unnamed Item ⋮ Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group ⋮ Nonlinear nonhomogeneous Neumann problem on the Heisenberg group ⋮ 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 ⋮ Semilinear parabolic equations on the Heisenberg group with a singular potential ⋮ On criticality coupled sub-Laplacian systems with Hardy type potentials on stratified Lie groups ⋮ Subelliptic geometric Hardy type inequalities on half-spaces and convex domains ⋮ Weighted Hardy and Rellich types inequalities on the Heisenberg group with sharp constants ⋮ Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group ⋮ Generalised Hardy type and Rellich type inequalities on the Heisenberg group ⋮ On first order interpolation inequalities with weights on the Heisenberg group ⋮ Multiplicity of positive solutions for a nonlinear equation with a Hardy potential on the Heisenberg group ⋮ Hardy inequalities for a magnetic Grushin operator with Aharonov–Bohm type magnetic field ⋮ Critical growth problems with singular nonlinearities on Carnot groups ⋮ Geometric Hardy inequalities for the sub-elliptic Laplacian on convex domains in the Heisenberg group ⋮ Hardy type inequalities related to Carnot-Carathéodory distance on the Heisenberg group ⋮ A general approach to weighted Rellich type inequalities on Carnot groups ⋮ General weighted Hardy-type inequalities related to Greiner operators ⋮ Hardy inequalities resulted from nonlinear problems dealing with \(A\)-Laplacian ⋮ Best constants in the Hardy-Rellich type inequalities on the Heisenberg group ⋮ Some weighted Hardy-type inequalities on anisotropic Heisenberg groups ⋮ Hardy inequalities with Aharonov-Bohm type magnetic field on the Heisenberg group ⋮ On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and \(p\)-sub-Laplacian inequalities on stratified groups ⋮ Generalized multilinear Hausdorff operators on the Heisenberg group ⋮ Hardy inequalities related to Grushin type operators ⋮ Hardy inequalities on Riemannian manifolds and applications ⋮ A Hardy-type inequality with Aharonov-Bohm magnetic field on the Poincaré disk ⋮ Weighted anisotropic Hardy and Rellich type inequalities for general vector fields ⋮ Hardy inequalities for Landau Hamiltonian and for Baouendi-Grushin operator with Aharonov-Bohm type magnetic field. Part I ⋮ Caccioppoli-type estimates and Hardy-type inequalities derived from weighted \(p\)-harmonic problems ⋮ Some weighted Hardy and Rellich inequalities on the Heisenberg group ⋮ A survey of Hardy type inequalities on homogeneous groups
This page was built for publication: Some Hardy inequalities on the Heisenberg group
