Thin sets in weighted potential theory and degenerate elliptic equations (Q1921754)

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scientific article; zbMATH DE number 923475
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Thin sets in weighted potential theory and degenerate elliptic equations
scientific article; zbMATH DE number 923475

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    Thin sets in weighted potential theory and degenerate elliptic equations (English)
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    15 October 1996
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    The present paper is a continuation of the author's work on \(L_p\)-theory of weighted potential [Sib. Mat. Zh. 33, No. 2, 29-48 (1992; Zbl 0787.31012)] and is devoted to the study of thin sets in weighted potential theory. It is shown, among others, that the set of all Wiener irregular points in the Dirichlet problem for some degenerate elliptic equations has weighted capacity zero.
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    \(L_ p\)-theory
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    thin sets
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    weighted potential theory
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    Wiener irregular points
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    Dirichlet problem
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    degenerate elliptic equations
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