Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs

By Nguyen Huong Lam, G. Lu, Hanli Tang. 2014

71 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/f978a47293685f4591ab6c0940e9aedc542f529c

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In Applied Mathematics

1. Caifeng Zhang
2. Hanli Tang
3. G. Lu
4. Nguyen Huong Lam
5. Y. Yang
6. Qiaohua Yang
7. Guozhen Lu
8. Federica Sani

In Computational Theory and Mathematics

1. Caifeng Zhang
2. Hanli Tang
3. G. Lu
4. Nguyen Huong Lam
5. Y. Yang
6. Federica Sani

Citations in the corpus

• Trudinger–Moser Inequalities in Fractional Sobolev–Slobodeckij Spaces and Multiplicity of Weak Solutions to the Fractional-Laplacian Equation (2018, background): “In [29, 31, 34, 35, 38], Lam, Lu and their collaborators developed a rearrangement-free approach to establish the higher-order Adams inequality in Euclidean spaces, which was first established by [2] and the Trudinger–Moser inequality on Heisenberg groups.”
• Sharp Singular Trudinger–Moser Inequalities in Lorentz–Sobolev Spaces (2016, methodology): “A symmetrizationfree argument was developed to prove the subcritical Trudinger–Moser inequality on the Heisenberg group by Lam, Lu and Tang [23].”
• Best Constants for Moser-Trudinger Inequalities on High Dimensional Hyperbolic Spaces (2013, unknown): “in [14], [18] which improve the earlier work on bounded domains by Cohn and Lu [9, 10] (see also [17]) or for Adams inequalities [2] on high (fractional) order Sobolev spaces by Lam and Lu in [15], [16] which improve the work of Ruf and Sani [25].”