LAUSR

ABSTRACT This paper deals with the following mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity in a bounded domain with zero Dirichlet boundary condition, which was studied in our previous paper [J Math Anal Appl. 2019;478(2):393-420]. In view the results of [J Math Anal Appl. 2019;478(2):393-420], for the case (1) the global existence and blow-up results were got when , where d denotes the mountain-pass level. But for the case (2) the blow-up results were got when , where is a constant. In this paper, we extend and complete the results of [J Math Anal Appl. 2019;478(2):393-420] on the following three aspects: First, the blow-up results are got when and (2) are satisfied. Second, the upper and lower bounds of blow-up time are estimated. Third, the global existence and blow-up results are got when .