Abstract
LetU be an open subset of aP-harmonic space. It is shown that the space of solutions of the Dirichlet problem onU is dense with respect to locally uniform convergence in the space of Perron-Wiener-Brelot solutions of the generalized Dirichlet problem if and only if the set of irregular boundary points forU is negligible.
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Hansen, W., Netuka, I. Locally uniform approximation by solutions of the classical Dirichlet problem. Potential Anal 2, 67–71 (1993). https://doi.org/10.1007/BF01047673
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DOI: https://doi.org/10.1007/BF01047673