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arXiv:2106.01749 [math.AP]AbstractReferencesReviewsResources

PWB-method and Wiener criterion for boundary regularity under generalized Orlicz growth

Allami Benyaiche, Ismail Khlifi

Published 2021-06-03Version 1

Perron's method and Wiener's criterion have entirely solved the Dirichlet problem for the Laplace equation. Since then, this approach has attracted the attention of many mathematicians for applying these ideas in the more general equations. So, in this paper, we extend the Perron method and the Wiener criterion to the $G(\cdot)$-Laplace equation.

Categories: math.AP
Subjects: 31B25, 32U20, 35J25
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