On the first eigenvalue of the generalized laplacian

Julian Fernandez Bonder, Ariel Salort

In this work we investigate the energy of minimizers of Rayleigh-type quotients of the form $$\frac{{\int }_{\Omega }A(|\nabla u|)dx}{{\int }_{\Omega }A(|u|)dx}.$$ These minimizers are eigenfunc…