Improved Moser-Trudinger inequality of Tintarev type in dimension \(n\) and the existence of its extremal functions
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Publication:1994067
DOI10.1007/s10455-018-9599-zzbMath1405.26019OpenAlexW2790361892MaRDI QIDQ1994067
Publication date: 1 November 2018
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10455-018-9599-z
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (17)
Compactness of extremals for singular Trudinger-Moser inequalities on the whole Euclidean space ⋮ Nonexistence of extremals for a Trudinger-Moser inequality on a Riemann surface with boundary ⋮ Aubin type almost sharp Moser-Trudinger inequality revisited ⋮ On nonexistence of extremals for the Trudinger-Moser functionals involving \(L^p\) norms ⋮ A Trudinger-Moser inequality for a conical metric in the unit ball ⋮ The Hardy-Moser-Trudinger inequality via the transplantation of Green functions ⋮ An improved Trudinger-Moser inequality involving \(N\)-Finsler-Laplacian and \(L^p\) norm ⋮ Nonexistence of extremals for an inequality of Adimurthi-Druet on a closed Riemann surface ⋮ A Hardy-Trudinger-Moser inequality involving \(L^p\) norm in the hyperbolic space ⋮ Extremal sections for a Trudinger-Moser functional on vector bundle over a closed Riemann surface ⋮ On extremals for the Trudinger-Moser inequality with vanishing weight in the N-dimensional unit ball ⋮ A Trudinger-Moser type inequality and its extremal functions in dimension two ⋮ Trudinger-Moser type inequalities with vanishing weights in the unit ball ⋮ A Trudinger-Moser inequality of Adimurthi-Druet type involving higher order eigenvalues ⋮ A remark on an improved Trudinger–Moser inequality in high dimensions ⋮ The weighted Moser-Trudinger inequalities of Adimurthi-Druet type in \(\mathbb{R}^N\) ⋮ Improved singular Moser-Trudinger inequalities and their extremal functions
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