Existence results for a generalized mean field equation on a closed Riemann surface

Linlin Sun, Yamin Wang, Yunyan Yang

Let $\Sigma$ be a closed Riemann surface, $h$ a positive smooth function on $\Sigma$, $\rho$ and $\alpha$ real numbers. In this paper, we study a generalized mean field equation \begin{align*} -Δu=ρ…