In this paper, we consider a Liouville-type system with singularity in the plane. The existence and uniqueness of solutions to the Dirichlet problem are proved. In addition, the structure of solutions in terms of analogues of the so-called total curvature in geometry or total mass in physics will be offered as well.
|Number of pages||25|
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - 2012 Jan|
ASJC Scopus subject areas
- Applied Mathematics