Hardy-Adams inequalities on \(\mathbb{H}^2 \times \mathbb{R}^{n-2} \)
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Publication:2041951
DOI10.1515/ans-2021-2122zbMath1480.46043OpenAlexW3138361325MaRDI QIDQ2041951
Xumin Wang, Xing Ma, Qiao-Hua Yang
Publication date: 26 July 2021
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2021-2122
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20)
Related Items (16)
Singular Hardy–Adams inequalities on hyperbolic spaces of any even dimension ⋮ Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces ⋮ Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces ⋮ Existence and non-existence of extremals for critical Adams inequality in any even dimension ⋮ Trace Hardy-Sobolev-Maz'ya inequalities on half space and sharp constant in dimension two ⋮ Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-𝐿^{∞} spaces ⋮ Existence of extremals for Trudinger-Moser inequalities involved with a trapping potential ⋮ Least energy solutions to quasilinear subelliptic equations with constant and degenerate potentials on the Heisenberg group ⋮ Critical and supercritical Adams' inequalities with logarithmic weights ⋮ Equivalence of subcritical and critical Adams inequalities in \(W^{m,2}(\mathbb{R}^{2m})\) and existence and non-existence of extremals for Adams inequalities under inhomogeneous constraints ⋮ Existence of sign-changing radial solutions with prescribed numbers of zeros for elliptic equations with the critical exponential growth in ℝ² ⋮ Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals ⋮ Concentration-compactness principle for Trudinger-Moser's inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument ⋮ Green's functions of Paneitz and GJMS operators on hyperbolic spaces and sharp Hardy-Sobolev-Maz'ya inequalities on half spaces ⋮ Hardy-Poincaré-Sobolev type inequalities on hyperbolic spaces and related Riemannian manifolds ⋮ Hardy's identities and inequalities on Cartan-Hadamard manifolds
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