Existence and non-existence of global solutions of pseudo-parabolic equations involving p(x)-Laplacian and logarithmic nonlinearity

被引：3

作者：

Van Chuong, Quach ^{[1
,2
,3
]}

Nhan, Le Cong ^{[4
]}

Truong, Le Xuan ^{[5
]}

机构：

[1] Univ Sci, Fac Math & Comp Sci, Ho Chi Minh City, Vietnam

[2] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

[3] Dong Nai Univ, Dept Math, Bien Hoa, Dong Nai, Vietnam

[4] Ho Chi Minh City Univ Technol & Educ, Fac Appl Sci, Ho Chi Minh City, Vietnam

[5] Univ Econ Ho Chi Minh City UEH, Dept Math & Stat, Ho Chi Minh City, Vietnam

来源：

JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2022年 / 8卷 / 01期

关键词：

Pseudo-parabolic p(x)-Laplacian equation; Logarithmic nonlinearity; Blow-up; Decay; LAPLACIAN EVOLUTION-EQUATIONS; TIME BLOW-UP; SOBOLEV EMBEDDINGS; VARIABLE EXPONENT; SPACES; FUNCTIONALS; STABILITY;

D O I：

10.1007/s41808-022-00162-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a class of pseudo-parabolic equations involving p(x)-Laplacian and logarithmic nonlinearity. By using the potential well method, we give some threshold results on existence or nonexistence of global weak solutions when the initial energy is subcritical. Moreover, the decay estimates for the global bounded solutions and the growth estimates for the global unbounded solutions are also concerned.

引用

页码：483 / 512

页数：30

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