An eigenvalue of an anisotropic quasilinear elliptic equation with variable exponent and Neumann boundary condition Original Research Article

In this paper we consider the existence of an eigenvalue of an anisotropic quasilinear elliptic equation with variable exponent and Neumann boundary condition in different cases and give some concrete properties of an anisotropic operator and an embedding result on anisotropic generalized Sobolev space.