Sharpened Trudinger–Moser Inequalities on the Euclidean Space and Heisenberg Group

Author:

Chen Lu,Lu Guozhen,Zhu Maochun

Funder

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference38 articles.

1. Adams, D.R.: A sharp inequality of J. Moser for higher order derivatives. Ann. Math. 128, 385–398 (1988)

2. Adachi, S., Tanaka, K.: Trudinger type inequalities in $${\mathbb{R}}^{N}$$ and their best exponents. Proc. Am. Math. Soc. 128, 2051–2057 (1999)

3. Adimurthi, O.: Druet, Blow-up analysis in dimension $$\mathit{2}$$ and a sharp form of Trudinger-Moser inequality. Commun. Partial Differ. Equ. 29(1–2), 295–322 (2004)

4. Carleson, L., Chang, S.Y.A.: On the existence of an extremal function for an inequality of. J. Moser. Bull. Sci. Math. 110(2), 113–127 (1986)

5. Černý, R., Cianchi, A., Hencl, S.: Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs. Ann. Mat. Pura Appl. 192, 225–243 (2013)

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