Faber-Krahn inequality for Robin problem involving p-Laplacian

Details Faber-Krahn inequality for Robin problem involving p-Laplacian Faber-Krahn inequality for Robin problem involving p-Laplacian

2009-12-02

arxiv.org/abs/0912.0393v2

Mathematics

Analysis of PDEs

20pages

Scientific paper

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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