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 first eigenvalue and minimizes the torsional rigidity when the measure and the external perimeter are fixed.
Funder
GNAMPA of INDAM
Progetto di eccellenza “Sistemi distribuiti intelligenti”of Dipartimento di Ingegneria Elettrica e dell’Informazione “M. Scarano”.
Subject
Computational Mathematics,Control and Optimization,Control and Systems Engineering
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