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arXiv · 2105.09353

Inequalities between torsional rigidity and principal eigenvalue of the $p$-Laplacian

Briani Luca·Buttazzo Giuseppe·Prinari Francesca
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Abstract

We consider the torsional rigidity and the principal eigenvalue related to the $p$-Laplace operator. The goal is to find upper and lower bounds to products of suitable powers of the quantities above in various classes of domains. The limit cases $p=1$ and $p=\infty$ are also analyzed, which amount to consider the Cheeger constant of a domain and functionals involving the distance function from the boundary.

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Briani Luca, Buttazzo Giuseppe, Prinari Francesca. 2021-05-19. Inequalities between torsional rigidity and principal eigenvalue of the $p$-Laplacian. https://arxiv.org/abs/2105.09353

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