On torsional rigidity and principal frequencies: an invitation to the Kohler−Jobin rearrangement technique
نویسندگان
چکیده
منابع مشابه
On torsional rigidity and principal frequencies: an invitation to the Kohler-Jobin rearrangement technique
We generalize to the p−Laplacian ∆p a spectral inequality proved by M.-T. Kohler-Jobin. As a particular case of such a generalization, we obtain a sharp lower bound on the first Dirichlet eigenvalue of ∆p of a set in terms of its p−torsional rigidity. The result is valid in every space dimension, for every 1 < p < ∞ and for every open set having finite measure. Moreover, it holds by replacing t...
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Torsional Rigidity of Submanifolds with Controlled Geometry
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ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2014
ISSN: 1292-8119,1262-3377
DOI: 10.1051/cocv/2013065