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arXiv 2106.01749math.AP
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广义Orlicz增长下边界正则性的PWB方法和Wiener准则

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

Allami Benyaiche, Ismail Khlifi

摘要:

Perron方法和Wiener准则完全解决了Laplace方程的狄利克雷问题。从那时起,这种方法吸引了许多数学家的注意,因为他们将这些思想应用于更一般的一般方程。因此,本文将Perron方法和Wiener准则推广到$G(\cdot)$ -Laplace方程.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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