Article
Ufa Mathematical Journal
Volume 6, Number 3, pp. 85-94
Behavior of solutions to Gauss-Bieberbach-Rademacher equation on plane
Neklyudov A.V.
DOI:10.13108/2014-6-3-85
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We study the asymptotic behavior at infinity of solutions to Gauss-Bierbach-Rademacher equation $\Delta u=e^u$ in the domain exterior to a circle on the plane. We establish that the leading term of the asymptotics is a logarithmic function tending to $-\infty$. We also find the next-to-leading term for various values of the coefficient in the leading term.