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