Gamma-star-shapedness for semilinear elliptic equations (Q1779031)

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scientific article; zbMATH DE number 2177442
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Gamma-star-shapedness for semilinear elliptic equations
scientific article; zbMATH DE number 2177442

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    Gamma-star-shapedness for semilinear elliptic equations (English)
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    21 June 2005
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    The authors deal with a generic semilinear equation in a star-shaped ring. Under some structural condition the authors show that any solution bounded between its boundary values decrease along the rays starting from the origin. They show that the result is applicable both to the Emden-Fowler and the Liouville equation.
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    semilinear equation
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    star-shaped ring
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    Emden-Fowler and Liouville equations
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