108 citations · 181 across the 39 of their papers we have counts for
6 papers · 2 filters
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 $(N\geq 2…
Blow-up analysis concerning singular Trudinger-Moser inequalities in dimension two
Yunyan Yang, Xiaobao Zhu
In this paper, we derive a sharp version of the singular Trudinger-Moser inequality, which was originally established by Adimurthi and Sandeep (Nonlinear Differ. Equ. Appl. 2007).…
A remark on a result of Ding-Jost-Li-Wang
Yunyan Yang, Xiaobao Zhu
Let be a compact Riemannian surface without boundary, be the usual Sobolev space, be the functional defined by $$J(u)=\fr…
Existence of positive solutions to some nonlinear equations on locally finite graphs
Alexander Grigor'yan, Yong Lin, Yunyan Yang
Let be a locally finite graph, whose measure have positive lower bound, and be the usual graph Laplacian. Applying the mountain-pass theorem due to Ambrosetti-…
Kazdan-Warner equation on graph
Alexander Grigor'yan, Yong Lin, Yunyan Yang
Let be a finite graph and be the usual graph Laplacian. Using the calculus of variations and a method of upper and lower solutions, we give various conditions such th…
Yamabe type equations on graphs
Alexander Grigor'yan, Yong Lin, Yunyan Yang
Let be a locally finite graph, be a bounded domain, be the usual graph Laplacian, and be the first eigenvalue of with respect to Dirichlet…