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math.AP2015
An improved Hardy-Trudinger-Moser inequality
Yunyan Yang, Xiaobao Zhu
Let be the unit disc in , be the completion of under the norm $$\|u\|_{\mathscr{H}}=\left(\int_\mathbb{B}|\nabla u…
math.AP2015★ 5 cited
Extremal functions for Trudinger-Moser inequalities of Adimurthi-Druet type in dimension two
Yunyan Yang
Combining Carleson-Chang's result with blow-up analysis, we prove existence of extremal functions for certain Trudinger-Moser inequalities in dimension two. This kind of inequality…