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Isoperimetric estimates for nonlinear Dirichlet eigenvalues

GFM seminar
CIUL, B1-01
2010-01-28 14:00 .. 15:00
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by Cristina Trombetti (Università di Napoli "Federico II", Italy)

We prove an affine isoperimetric upper bound for the eigenvalue of the Monge-Ampere operator with Dirichlet boundary conditions and an upper bound, in terms of isoperimetric deficit, for the first eigenvalue of the p-Laplace operator with Dirichlet boundary conditions in convex domains.
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