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arxiv: 1704.05327 · v1 · pith:PP7E7UYGnew · submitted 2017-04-18 · 🧮 math.AP

Continuity results with respect to domain perturbation for the fractional p-laplacian

classification 🧮 math.AP
keywords fractionalapproximatingconditionscontinuitydomainslaplaciancapacitydomain
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In this paper we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional $p-$laplacian. These conditions are given in terms of the fractional capacity of the approximating domains.

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