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Faber-Krahn inequality for Robin problem involving p-Laplacian

Analysis of PDEs 2010-03-22 v2

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.

Keywords

Cite

@article{arxiv.0912.0393,
  title  = {Faber-Krahn inequality for Robin problem involving p-Laplacian},
  author = {Qiuyi Dai and Yuxia Fu},
  journal= {arXiv preprint arXiv:0912.0393},
  year   = {2010}
}

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20pages