The Saint-Venant inequality for the Laplace operator with Robin boundary conditions∗

نویسندگان

  • Dorin Bucur
  • Alessandro Giacomini
چکیده

This survey paper is focused on the Saint-Venant inequality for the Laplace operator with Robin boundary conditions. In a larger context, we make the point on the recent advances concerning isoperimetric inequalities of Faber-Krahn type for elastically supported membranes and describe the main ideas of their proofs in both contexts of rearrangement and free discontinuity techniques.

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تاریخ انتشار 2015