Blow-up analysis of a Finsler–Liouville equation in two dimensions

In this paper, we establish a blow-up analysis for the Finsler–Liouville equation−Qu=V(x)eu−Qu=V(x)eu in two dimensions. Here the operator Q is the so-called Finsler–Laplacian, which is a generalized Laplacian. As a byproduct, we obtain an existence result.