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arxiv: 1601.05290 · v2 · pith:AFS2V3SFnew · submitted 2016-01-20 · 🧮 math.AP

Fractional eigenvalue problems that approximate Steklov eigenvalues

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keywords eigenvaluefractionalproblemsteklovapproximateclassicalanalyzeeigenvalues
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In this paper we analyze possible extensions of the classical Steklov eigenvalue problem to the fractional setting. In particular, we find a nonlocal eigenvalue problem of fractional type that approximate, when taking a suitable limit, the classical Steklov eigenvalue problem.

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