Sharp Singular Trudinger-Moser-Adams Type Inequalities with Exact Growth

DOI10.1007/978-3-319-02666-4_3zbMath1338.35016OpenAlexW2490805392MaRDI QIDQ2800113

Guozhen Lu, Lam Hoang Nguyen

Publication date: 14 April 2016

Published in: Geometric Methods in PDE’s (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-02666-4_3

zbMATH Keywords

best constantssharp Moser-Trudinger inequalitiessharp Adams inequalitiessharp inequalities with exact growth condition

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) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (9)

Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces ⋮ Existence and nonexistence of extremals for critical Adams inequalities in \(\mathbb{R}^4\) and Trudinger-Moser inequalities in \(\mathbb{R}^2\) ⋮ Sharp higher order Adams' inequality with exact growth condition on weighted Sobolev spaces ⋮ Sharp anisotropic singular Trudinger-Moser inequalities in the entire space ⋮ Sharp singular Trudinger-Moser inequalities under different 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 ⋮ Singular Hardy-Trudinger-Moser inequality and the existence of extremals on the unit disc ⋮ Moser–Trudinger–Adams inequalities and related developments

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