Blow-up phenomena for a class of p-Laplacian heat equations with logarithmic nonlinearity term

摘要

This paper deals with a quasilinear parabolic equation with p-Laplacian and logarithmic nonlinearity terms under homoge-neous Dirichlet boundary condition in a smooth bounded domain. By means of the logarithmic Sobolev inequality and potential wells method, blow-up results are obtained.