Xiaomeng Li

most citedExtremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space

8 citations · 8 across the 2 of their papers we have counts for

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math.AP2018

Extremal functions for Adams' inequalities in dimension four

Xiaomeng Li

Let $Ω \subset R^{4}$ be a smooth bounded domain, $W_{0}^{2, 2} (Ω)$ be the usual Sobolev space. For any positive integer $ℓ$ , $λ_{ℓ} (Ω)$ is the $ℓ$ -th eigenvalue of the…

math.AP2016★ 8 cited

Extremal functions for singular Trudinger-Moser inequalities in the entire Euclidean space

Xiaomeng Li, Yunyan Yang

In a previous work (Int. Math. Res. Notices 13 (2010) 2394-2426), Adimurthi-Yang proved a singular Trudinger-Moser inequality in the entire Euclidean space $R^{N}$ $(N\geq 2…