Interpolating between torsional rigidity and principal frequency
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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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2011.02.004