We study, in dimension n > 2, the eigenvalue problem and the torsional rigidity for the p-Laplacian on convex sets with holes, with external Robin boundary conditions and internal Neumann boundary conditions. We prove that the annulus maximizes the Frst eigenvalue and minimizes the torsional rigidity when the measure and the external perimeter are FIxed.

Sharp estimates for the first p -Laplacian eigenvalue and for the p -torsional rigidity on convex sets with holes

Piscitelli G.
;
Trani L.
2020-01-01

Abstract

We study, in dimension n > 2, the eigenvalue problem and the torsional rigidity for the p-Laplacian on convex sets with holes, with external Robin boundary conditions and internal Neumann boundary conditions. We prove that the annulus maximizes the Frst eigenvalue and minimizes the torsional rigidity when the measure and the external perimeter are FIxed.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11367/117047
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