Asymptotic behavior of solutions of equations of the Emden-Fowler type at infinity |
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Authors: | M D Surnachev |
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Institution: | 1.Moscow State University,Moscow,Russia |
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Abstract: | We obtain an asymptotic representation of solutions of equations of the Emden-Fowler type with “supercritical” exponent and
prove the existence of solutions with a given asymptotics. The methods used include the construction of supersolutions for
deriving a priori estimates and the use of Kondrat’ev’s results for weighted spaces. The existence of solutions is proved
by the Leray-Schauder method. |
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