Global existence and convergence of a flow to Kazdan-Warner equation with non-negative prescribed function

Linlin Sun, Jingyong Zhu

We consider an evolution problem associated to the Kazdan-Warner equation on a closed Riemann surface $(\Sigma ,g)$ \begin{align*} -Δ_{g}u=8π\left(\frac{he^{u}}{\int_Σhe^{u}{\rm d}μ_{g}}…