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arxiv: 0912.0393 · v2 · submitted 2009-12-02 · 🧮 math.AP

Faber-Krahn inequality for Robin problem involving p-Laplacian

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keywords eigenvaluefaber-krahninequalityproblemrobinamongstballboundary
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The eigenvalue problem for the p-Laplace operator with Robin boundary condition is considered in this paper. A Faber-Krahn type inequality is proved. More precisely, it is shown that amongst all the domains of fixed volume, the ball has the smallest first eigenvalue.

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