Geodesic
Behavior of solutions to Gauss--Bieberbach--Rademacher equation on plane
Ufa mathematical journal, Tome 6 (2014) no. 3, pp. 85-94

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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.
Keywords: semilinear elliptic equations, asymptotic behavior of solutions.
Mots-clés : Gauss–Bieberbach–Rademacher equation 
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     author = {A. V. Neklyudov},
     title = {Behavior of solutions to {Gauss--Bieberbach--Rademacher}  equation on plane},
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     url = {http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a5/}
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A. V. Neklyudov. Behavior of solutions to Gauss--Bieberbach--Rademacher  equation on plane. Ufa mathematical journal, Tome 6 (2014) no. 3, pp. 85-94. http://geodesic.mathdoc.fr/item/UFA_2014_6_3_a5/