Sala Seminari (Dip. Matematica).<\/p>\n
The first nontrivial eigenfunction of the Neumann eigenvalue problem for the p-Laplacian converges, as $p$ goes to $\\infty$, to a viscosity solution of a suitable eigenvalue problem for the $\\infty$-Laplacian. We show among other things that the limiting eigenvalue is in fact the first nonzero eigenvalue, and derive a number consequences, which are nonlinear analogues of well-known inequalities for the linear (2-)Laplacian. <\/p>\n","protected":false},"excerpt":{"rendered":"
The first nontrivial eigenfunction of the Neumann eigenvalue problem for the p-Laplacian converges, as $p$ goes to $\\infty$, to a viscosity solution of a suitable eigenvalue problem for the $\\infty$-Laplacian. We show among other things that the…<\/p>\n