Affiliation:
1. Department of Mathematics Renmin University of China Beijing China
Abstract
AbstractLet be a closed Riemann surface. Let ψ, h be two smooth functions on Σ with and . In this paper, using the method of flow due to Castras (Pacific J. Math. 276(2015), no. 2, 321–345) and Sun–Zhu (Calc. Var. Partial Differential Equations 60(2021), no. 1, 26), we prove that the solution of the equation
exists under given conditions. This gives a new proof of the main results of Zhu (Nonlinear Anal. 169(2018), 38–58).