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arxiv: 1603.09184 · v2 · pith:36WCJHADnew · submitted 2016-03-30 · 🧮 math.AP

Perron's Method and Wiener's Theorem for a Nonlocal Equation

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keywords methodperrontheoremwienerapplydirichletequationequations
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We study the Dirichlet problem for non-homogeneous equations involving the fractional $p$-Laplacian. We apply Perron's method and prove Wiener's resolutivity theorem.

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