Anisotropic Moser-Trudinger inequality involving $L^n$ norm in the entire space $\mathbb{R}^n$

DOI10.1007/s10114-023-1692-yarXiv2005.06513OpenAlexW4386571567MaRDI QIDQ6186466

Publication date: 9 January 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06513

zbMATH Keywords

unbounded domain extremal function blow-up analysis Moser-Trudinger inequality anisotropic Sobolev norm

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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Anisotropic Moser-Trudinger inequality involving \(L^n\) norm in the entire space \(\mathbb{R}^n\)