The Neumann eigenvalue problem for the $\infty$-Laplacian
The Neumann eigenvalue problem for the $\infty$-Laplacian
The first nontrivial eigenfunction of the Neumann eigenvalue problem for the p -Laplacian, suitably normalized, converges to a viscosity solution of an eigenvalue problem for the \infty -Laplacian as p \to \infty . We show among other things that the limiting eigenvalue, at least for convex sets, is in fact …