Singular Hardy-Trudinger-Moser inequality and the existence of extremals on the unit disc
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Publication:2069901
DOI10.3934/cpaa.2019121zbMath1481.35177OpenAlexW2925959427MaRDI QIDQ2069901
Publication date: 21 January 2022
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2019121
Variational methods applied to PDEs (35A15) Variational methods for elliptic systems (35J50) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
Related Items (10)
Singular Hardy–Adams inequalities on hyperbolic spaces of any even dimension ⋮ The Hardy-Moser-Trudinger inequality via the transplantation of Green functions ⋮ Geometric Hardy's inequalities with general distance functions ⋮ Singular supercritical Trudinger-Moser inequalities and the existence of extremals ⋮ Sharp Hardy-Trudinger-Moser inequalities in any \(N\)-dimensional hyperbolic spaces ⋮ Sharp Rellich-Sobolev inequalities and weighted Adams inequalities involving Hardy terms for bi-Laplacian ⋮ Trudinger-Moser inequalities on harmonic \(A N\) groups under Lorentz norms ⋮ Sharp weighted Trudinger-Moser-Adams inequalities on the whole space and the existence of their extremals ⋮ Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities ⋮ Factorizations and Hardy's type identities and inequalities on upper half spaces
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