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Estimates of the principal eigenvalue of the $p$-Laplacian and the $p$-biharmonic operator
We survey recent results concerning estimates of the principal eigenvalue of the Dirichlet $p$-Laplacian and the Navier $p$-biharmonic operator on a ball of radius $R$ in $\mathbb R^N$ and its asymptotics for $p$ approaching $1$ and $\infty $. Let $p$ tend to $\infty $. There is a critical radius $R_C$ …