论文信息 - A complete classification of initial energy in a p(x)-Laplace pseudo-parabolic equation

A complete classification of initial energy in a p(x)-Laplace pseudo-parabolic equation

Abstract This paper deals with a pseudo-parabolic equation involving p ( x ) -Laplacian, which has been studied in Di et al. (2017), Zhu et al. (2020) and Liao (2019). By the variational methods and embedding inequalities, we determine the complete classification of blow-up and global existence of weak solutions in some Sobolev space with variable exponent by covering all kinds of initial energy characterized with the mountain pass level.

Bingchen Liu | Xizheng Sun | Bingchen Liu | Xizheng Sun

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