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math.AP2018★ 33 cited
Existence and Nonexistence of Extremals for critical Adams inequalities in R4 and Trudinger-Moser inequalities in R2
Lu Chen, Guozhen Lu, Maochun Zhu
Though much work has been done with respect to the existence of extremals of the critical first order Trudinger-Moser inequalities in and higher order Adams…
math.AP2018★ 3 cited
Stein-Weiss inequalities with the fractional Poisson kernel
Lu Chen, Zhao Liu, Guozhen Lu +1
In this paper, we establish the following Stein-Weiss inequality with the fractional Poisson kernel (see Theorem 1.1): \begin{equation}\label{int1} \int_{\mathbb{R}^n_{+}}\int_{\pa…
math.CA2018★ 2 cited
Existence of extremal functions for the Stein-Weiss inequalities on the Heisenberg group
Lu Chen, Guozhen Lu, Chunxia Tao
In this paper, we establish the existence of extremals for two kinds of Stein-Weiss inequalities on the Heisenberg group. More precisely, we prove the existence of extremals for th…