Remarks on the Moser–Trudinger type inequality with logarithmic weights in dimension 𝑁

DOI10.1090/proc/14566zbMath1441.46028OpenAlexW2914337243MaRDI QIDQ5238099

Nguyen Van Hoang

Publication date: 28 October 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14566

zbMATH Keywords

extremal functionMoser-Trudinger-type inequalitylogarithmic weightconcentration level

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Critical and supercritical Adams' inequalities with logarithmic weights, \(N\)-Laplacian problems with critical double exponential nonlinearities, New weighted sharp Trudinger-Moser inequalities defined on the whole euclidean space \(\mathbb{R}^N\) and applications, A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems, A new singular Trudinger-Moser type inequality with logarithmic weights and applications, Singular weighted sharp Trudinger-Moser inequalities defined on \(\mathbb{R}^N\) and applications to elliptic nonlinear equations, Adams’ inequality with logarithmic weights in ℝ⁴

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