An anisotropic tempered fractional $ p $-Laplacian model involving logarithmic nonlinearity

In this paper, by introducing an anisotropic tempered fractional $ p $-Laplacian operator (-\Delta)_{p, \lambda}^{\beta/2, m} $, based on the Laplacian \Delta_{m}^{\beta/2} and one \Delta_{m}^{\beta/2, \lambda} which are studied Deng et.al recently in [13], model involving logarithmic nonlinearity is considered. We first establish maximum principle boundary estimate, play a very crucial role later process. Then we obtain radial symmetry monotonicity results using direct method of moving planes.