| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 840566 | Nonlinear Analysis: Theory, Methods & Applications | 2012 | 10 Pages |
Abstract
The Liouville equation Δu+V(x)eu=0Δu+V(x)eu=0 has many applications in science and mathematics. One of the interesting features of solutions is their blow up behavior, a topic for which many results have been obtained. In this paper, we give a simple approach to obtaining a precise asymptotic expansion of a sequence of blow up solutions to the Liouville equation in a bounded domain Ω⊂R2Ω⊂R2.
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Authors
Mathew R. Gluck,