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

共 50 条

[1] Existence and non-existence of global solutions of pseudo-parabolic equations involving p(x)-Laplacian and logarithmic nonlinearity
Quach Van Chuong
Le Cong Nhan
Le Xuan Truong
Journal of Elliptic and Parabolic Equations, 2022, 8 : 483 - 512
[2] Global Existence and Blow-Up for the Pseudo-parabolic p(x)-Laplacian Equation with Logarithmic Nonlinearity
Fugeng Zeng
Qigang Deng
Dongxiu Wang
Journal of Nonlinear Mathematical Physics, 2022, 29 : 41 - 57
[3] Global Existence and Blow-Up for the Pseudo-parabolic p(x)-Laplacian Equation with Logarithmic Nonlinearity
Zeng, Fugeng
Deng, Qigang
Wang, Dongxiu
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2022, 29 (01) : 41 - 57
[4] A pseudo-parabolic equation with logarithmic nonlinearity: Global existence and blowup of solutions
Jayachandran, Sushmitha
Soundararajan, Gnanavel
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (15) : 11993 - 12011
[5] Global existence and blow up for a class of pseudo-parabolic equations with logarithmic nonlinearity
Zeng, Fugeng
Deng, Qigang
Huang, Yao
RESULTS IN APPLIED MATHEMATICS, 2022, 15
[6] GLOBAL EXISTENCE AND BLOW-UP OF SOLUTIONS FOR INFINITELY DEGENERATE SEMILINEAR PSEUDO-PARABOLIC EQUATIONS WITH LOGARITHMIC NONLINEARITY
Chen, Hua
Xu, Huiyang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2019, 39 (02) : 1185 - 1203
[7] Global existence and blow-up for a mixed pseudo-parabolic p-Laplacian type equation with logarithmic nonlinearity
Ding, Hang
Zhou, Jun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 478 (02) : 393 - 420
[8] Global existence and regularity for a pseudo-parabolic equation with p(x, t)-Laplacian
Antontsev, Stanislav
Kuznetsov, Ivan
Shmarev, Sergey
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 526 (01)
[9] Existence and non-existence of global solutions for uniformly parabolic equations
Meneses, Rodrigo
Quaas, Alexander
JOURNAL OF EVOLUTION EQUATIONS, 2012, 12 (04) : 943 - 955
[10] Existence and non-existence of global solutions for uniformly parabolic equations
Rodrigo Meneses
Alexander Quaas
Journal of Evolution Equations, 2012, 12 : 943 - 955

← 1 2 3 4 5 →