A critical neumann problem with anisotropic p-laplacian

Gustavo F. Madeira, Olímpio H. Miyakaki, Alânnio B. Nóbrega

We are concerned with the existence of solution of the problem $ -Δ^H_pu+|u|^{p-2}u=λ|u|^{q-2}u+ |u|^{p^*-2}u\quad \mbox{in}\quadΩ,$ $u>0\quad \mbox{in}\quadΩ,$ $a(\nabla u)\cdot ν…