Critical and supercritical Adams' inequalities with logarithmic weights

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15)

Cites Work

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A Hardy-Moser-Trudinger inequality
On supercritical Sobolev type inequalities and related elliptic equations
A sharp Trudinger-Moser inequality on any bounded and convex planar domain
Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates
Adams' inequalities for bi-Laplacian and extremal functions in dimension four
A sharp inequality of J. Moser for higher order derivatives
Extremal functions for the Trudinger-Moser inequality in 2 dimensions
Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions
Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb R^2$
Supercritical Moser-Trudinger inequalities and related elliptic problems
Hardy-Adams inequalities on $\mathbb{H}^2 \times \mathbb{R}^{n-2} $
Sharp Trudinger-Moser inequality and ground state solutions to quasi-linear Schrödinger equations with degenerate potentials in $\mathbb{R}^n$
Concentration-compactness principle for Trudinger-Moser's inequalities on Riemannian manifolds and Heisenberg groups: a completely symmetrization-free argument
On Trudinger-Moser type inequalities with logarithmic weights
A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems
Trudinger-Moser type inequalities with logarithmic weights in dimension $N$
Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four
Extremal functions for the Moser-Trudinger inequalities on compact Riemannian manifolds
Concentration-compactness principle associated with Adams' inequality in Lorentz-Sobolev space
Best constants for Moser-Trudinger inequalities on the Heisenberg group
Extremal functions for Moser’s inequality
Adams’ inequality with logarithmic weights in ℝ⁴
Improved Adams-type inequalities and their extremals in dimension 2m
Remarks on the Moser–Trudinger type inequality with logarithmic weights in dimension 𝑁
A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals

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