Sharp subcritical and critical Trudinger-Moser inequalities on \(\mathbb{R}^{2}\) and their extremal functions
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Publication:507188
DOI10.1007/s11118-016-9572-zzbMath1356.35021OpenAlexW2409586733MaRDI QIDQ507188
Publication date: 3 February 2017
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-016-9572-z
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)
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Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions ⋮ Finsler Trudinger-Moser inequalities on \(\mathbb{R}^2\) ⋮ A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space $\mathbb{R}^n$ ⋮ Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions ⋮ Fractional Trudinger-Moser type inequalities in one dimension ⋮ 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
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