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

被引：10

作者：

Sun, Xizheng ^{[1
]}

Liu, Bingchen ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] China Univ Petr, Coll Sci, Qingdao 266580, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 111卷

关键词：

p(x)-Laplace pseudo-parabolic equation; Global existence; Blow-up; Initial energy; Mountain pass level; BLOW-UP; GLOBAL EXISTENCE;

D O I：

10.1016/j.aml.2020.106664

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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