Nehari manifold and existence of positive solutions to a class of quasilinear problems

In this paper, existence and multiplicity results to the following nonlinear elliptic equation:-Δpu=λ|u|q-2u+|u|p*-2u,u>0inΩ⊂RN,together with mixed Dirichlet-Neumann or Neumann boundary conditions, are established. Here, Δpu denotes the p-Laplacian operator, 1