Faber-Krahn inequality for Robin problem involving p-Laplacian

2009/12/02 by Qiuyi Dai, Dai, Qiuyi, Yuxia Fu +1
Mathematics · #35J65 #35J70 #35P15 #35P30 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J65 #msc:35J70 #msc:35P15 #msc:35P30

paper · pdf · doi:10.48550/arxiv.0912.0393

20pages

arxiv created 2010/03/19 · arxiv updated 2010/03/22

Abstract

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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