Cao, YangLiu, Conghui2022-02-112022-02-112018-05-14Cao, Y., & Liu, C. (2018). Initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity. <i>Electronic Journal of Differential Equations, 2018</i>(116), pp. 1-19.1072-6691https://hdl.handle.net/10877/15309We consider the initial boundary value problem for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity. Constructing a family of potential wells and using the logarithmic Sobolev inequality, we establish the existence of global weak solutions. we consider two cases: global boundedness and blowing-up at ∞. Moreover, we discuss the asymptotic behavior of solutions and give some decay estimates and growth estimates.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalPseudo-parabolicp-LaplacianLogarithmic nonlinearityLong time behaviorArticle