Geodesic
Asymptotic of solutions of two-dimesional Gauss--Bierbach--Rademacher equation with variable coefficients in external area
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 338-354

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We consider an asymptotic behavior at infinity of solutions of a semi-linear second order elliptic equation containing exponential nonlinear term. We establish that any solution in a circle’s exterior tends to a negative infinity with the same rate as the fundamental solution of respective linear homogeneous elliptic equation.
Keywords: semi-linear elliptic equation, Bieberbach–Rademacher equation, asymptotic behavior.
Mots-clés : Gauss equation 
@article{SEMR_2018_15_a87,
     author = {A. V. Neklyudov},
     title = {Asymptotic of solutions of two-dimesional {Gauss--Bierbach--Rademacher} equation  with variable coefficients  in external area},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {338--354},
     publisher = {mathdoc},
     volume = {15},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a87/}
}
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A. V. Neklyudov. Asymptotic of solutions of two-dimesional Gauss--Bierbach--Rademacher equation  with variable coefficients  in external area. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 338-354. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a87/