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

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