A new approach to sharp Moser–Trudinger and Adams type inequalities: A rearrangement-free argument

By Nguyen Huong Lam, G. Lu. 2013

200 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/17085c196c86faf5662a8ecb7243076c649c4771

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In Applied Mathematics

1. G. Lu
2. Nguyen Huong Lam
3. Caifeng Zhang
4. Hanli Tang
5. Federica Sani
6. Cristina Tarsi
7. Daniele Cassani
8. Y. Yang

In Computational Theory and Mathematics

1. G. Lu
2. Nguyen Huong Lam
3. Caifeng Zhang
4. Hanli Tang
5. Federica Sani
6. Daniele Cassani
7. Cristina Tarsi
8. Y. Yang

In Mathematical Physics

1. Nguyen Huong Lam
2. G. Lu
3. Hanli Tang
4. Caifeng Zhang
5. Federica Sani
6. Cristina Tarsi
7. Daniele Cassani
8. Y. Yang

Citations in the corpus

• Sharp Singular Trudinger–Moser Inequalities in Lorentz–Sobolev Spaces (2016, methodology): “The upper bound in the above estimates for the subcritical case was obtained by an argument inspired by the work of Lam and the authors [19, 21, 23], where a local Trudinger–Moser inequality on the level sets of the functions under consideration can lead to a global one on the entire spaces, without”
• Equivalent Moser type inequalities in R2 and the zero mass case (2014, methodology): “However, we point out that exploiting the same arguments as developed by Lam and Lu in [41] (see also [42] for the more general case of Sobolev spaces involving higher order derivatives), it is easy to show that (6.”
• 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].”
• Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications ✩ (2012, methodology): “In particular, we developed in [43] a rearrangement-free argument to show all integral orders m and also on fractional Sobolev spaces W α, n α (R n ) of arbitrary fractional order 0 α n.”
• Fractional Adams–Moser–Trudinger type inequalities (2015, unknown): “Lam and Lu [30] proved that for Ω = Rn the integral in (6) is uniformly bounded for u such that ‖(τI − ∆) n u‖Lp(Rn) ≤ 1 (here τ > 0 is fixed).”
• Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs (2014, unknown): “Recently, the first two authors of this paper developed a new idea of establishing sharp constants forMoser–Trudinger inequalities on unbounded domains of Heisenberg groups and for Adams inequalities on high order Sobolev spaces on unbounded domains without using rearrangement argument [16, 17].”
• Trudinger–Moser Inequalities in Fractional Sobolev–Slobodeckij Spaces and Multiplicity of Weak Solutions to the Fractional-Laplacian Equation (2018, background): “In 2013, Lam and Lu [31] proved that for Ω = RN and ‖(τI − ∆)N/2pu‖Lp(RN ) ≤ 1 (here τ > 0 is fixed),”