We establish a Wiener criterion at the boundary for solutions of Dirichlet problems relative to p-homogeneous strongly local Riemannian Dirichlet forms. The result was known at the most for the subelliptic p-Laplacian. We apply a pointwise estimate we proved in our previous paper. Let us observe that the above cited forms include in particular the p-Lapalcian relative to Hormander vector fields with $C^{\infty}$ coefficients or the Grushin-type vector fields with eventually a weight in the $A_2$ Muckenhoupt class.
Wiener criterion at the boundary related to p-homogeneous strongly local Dirichlet forms / Biroli, M; Marchi, Silvana. - In: LE MATEMATICHE. - ISSN 0373-3505. - LXII:(2007), pp. 37-52.
Wiener criterion at the boundary related to p-homogeneous strongly local Dirichlet forms
MARCHI, Silvana
2007-01-01
Abstract
We establish a Wiener criterion at the boundary for solutions of Dirichlet problems relative to p-homogeneous strongly local Riemannian Dirichlet forms. The result was known at the most for the subelliptic p-Laplacian. We apply a pointwise estimate we proved in our previous paper. Let us observe that the above cited forms include in particular the p-Lapalcian relative to Hormander vector fields with $C^{\infty}$ coefficients or the Grushin-type vector fields with eventually a weight in the $A_2$ Muckenhoupt class.File | Dimensione | Formato | |
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