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Wiener estimates for degenerate elliptic equations. II - MaRDI portal

Wiener estimates for degenerate elliptic equations. II (Q810282)

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scientific article; zbMATH DE number 4212594
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Wiener estimates for degenerate elliptic equations. II
scientific article; zbMATH DE number 4212594

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    Wiener estimates for degenerate elliptic equations. II (English)
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    1989
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    [For part I see the authors, Boll. Unione Mat. Ital., VI. Ser., B 5, 689- 706 (1986; Zbl 0634.35034)]. The authors prove a Wiener estimate for the modulus of continuity at a boundary point for solutions of the Dirichlet problem for the degenerate elliptic operator \[ -\sum^{n}_{p,q=1}\frac{\partial}{\partial x_ p}(a_{pq}(x)\frac{\partial u}{\partial x_ q}(x))=0, \] which is assumed to be coercive with respect to a weight in the \(A_ 2\) Muckenhoupt class. Here the coefficients \(a_{qp}(x)\) are symmetric measurable matrix functions.
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    modulus of continuity
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    boundary point
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