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arXiv · 1210.5848

Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators

Francesco Della Pietra·Nunzia Gavitone
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Abstract

We prove a sharp upper bound for the first Dirichlet eigenvalue of a class of nonlinear elliptic operators which includes the p-Laplace and the pseudo-p-Laplace operators. Moreover, we prove a stability result by means of a suitable isoperimetric deficity. Finally, we give a sharp lower bound for the anisotropic p-torsional rigidity.

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Francesco Della Pietra, Nunzia Gavitone. 2012-10-22. Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators. https://doi.org/10.1002/mana.201200296

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