Non-radial singular solutions of Lane-Emden equations in \(\mathbb{R}^N\) (Q2866936)

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scientific article; zbMATH DE number 6236913
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Non-radial singular solutions of Lane-Emden equations in \(\mathbb{R}^N\)
scientific article; zbMATH DE number 6236913

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    10 December 2013
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    positive non-radial solutions
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    nonradial singular solutions
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    supercritical Lane-Emden equations
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    asymptotic analysis
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    Non-radial singular solutions of Lane-Emden equations in \(\mathbb{R}^N\) (English)
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    Positive solutions of the Lane-Emden equation in the supercritical case are considered. It is shown that infinitely many non-radial singular solutions of equations with supercritical exponent exist. Positive non-radial solutions are constructed.
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