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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
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     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},
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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/

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