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On a class of anisotropic nonlinear elliptic equations in \(\mathbb R^N\) - MaRDI portal

On a class of anisotropic nonlinear elliptic equations in \(\mathbb R^N\) (Q928122)

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scientific article; zbMATH DE number 5286460
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On a class of anisotropic nonlinear elliptic equations in \(\mathbb R^N\)
scientific article; zbMATH DE number 5286460

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    On a class of anisotropic nonlinear elliptic equations in \(\mathbb R^N\) (English)
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    11 June 2008
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    The authors prove some imbedding results relative to weighted Sobolev spaces with weights of the type \(| x| ^s\). The results obtained are used to find the ground state solutions of nonlinear elliptic equations with anisotropic coefficients.
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    imbedding
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    weighted Sobolev spaces
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    ground states
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