Behavior of solutions to Gauss–Bieberbach–Rademacher equation on plane

A. V. Neklyudov

Ufa mathematical journal, Tome 6 (2014) no. 3, pp. 85-94

Résumé

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.

Détail

Keywords: semilinear elliptic equations, asymptotic behavior of solutions.
Mots-clés : Gauss–Bieberbach–Rademacher equation

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