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Wiener criterion for a class of degenerate elliptic operators. (English) Zbl 0633.35018
The authors give some geometric criteria (analogous to Wiener’s Poincaré’s and Zaremba’s criteria for the Laplacian) for the regularity of boundary points for the Dirichlet problem relative to a class of partial differential operators of the form \(\sum^{n}_{j=1}X^ 2_ j\), fulfilling Hörmander’s condition.
Reviewer: W.Wendt

35J25 Boundary value problems for second-order elliptic equations
35J67 Boundary values of solutions to elliptic equations and elliptic systems
35B65 Smoothness and regularity of solutions to PDEs
35A30 Geometric theory, characteristics, transformations in context of PDEs
35J70 Degenerate elliptic equations
Full Text: DOI
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