48 citations · 52 across the 17 of their papers we have counts for
4 papers · 2 filters
A remark on energy estimates concerning extremals for Trudinger-Moser inequalities on a disc
Yunyan Yang
In this short note, we generalized an energy estimate due to Malchiodi-Martinazzi (J. Eur. Math. Soc. 16 (2014) 893-908) and Mancini-Martinazzi (Calc. Var. (2017) 56:94). As an app…
A gradient flow for the prescribed Gaussian curvature problem on a closed Riemann surface with conical singularity
Yunyan Yang
In this note, we prove that the abstract gradient flow introduced by Baird-Fardoun-Regbaoui \cite{BFR}is well-posed on a closed Riemann surface with conical singularity. Long time…
Prescribing Gaussian curvature on closed Riemann surface with conical singularity in the negative case
Yunyan Yang, Xiaobao Zhu
The problem of prescribing Gaussian curvature on Riemann surface with conical singularity is considered. Let be a closed Riemann surface with a divisor , and ,…
Existence of solutions to a class of Kazdan-Warner equations on compact Riemannian surface
Yunyan Yang, Xiaobao Zhu
Let be a compact Riemannian surface without boundary and be the first eigenvalue of the Laplace-Beltrami operator . Let be a positive smooth function on $…