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math.AP2018
Nonexistence of extremals for an inequality of Adimurthi-Druet on a closed Riemann surface
Yunyan Yang
Based on a recent work of Mancini-Thizy [28], we obtain the nonexistence of extremals for an inequality of Adimurthi-Druet [1] on a closed Riemann surface . Precisely, if $λ…
math.AP2018
Mean field equations on a closed Riemannian surface with the action of an isometric group
Yunyan Yang, Xiaobao Zhu
Let be a closed Riemannian surface, be an isometric group acting on it. Denote a positive integer , where is t…
math.AP2018
A Trudinger-Moser inequality for conical metric in the unit ball
Yunyan Yang, Xiaobao Zhu
In this note, we prove a Trudinger-Moser inequality for conical metric in the unit ball. Precisely, let be the unit ball in , , $g=|x|^{…