Resumen de Singular limits in a Liouville-type equation with singular sources

Chunyi Zhao

• This paper considers the existence of multiple-peak solutions for a Liouville-type equation with singular sources under homogeneous Dirichlet conditions. In the paper, by using the so-called "localized energy mathod"-a combination of Liapunov-Schmidt reduction method and variational techniques, we construct a solution which blows up at singular sources and serveral other points in the domain..