Global Existence and Decay Estimates of Energy of Solutions for a New Class of p-Laplacian Heat Equations with Logarithmic Nonlinearity

被引：17

作者：

Boulaaras, Salah Mahmoud ^{[1
,2
]}

Choucha, Abdelbaki ^{[3
]}

Zara, Abderrahmane ^{[4
]}

Abdalla, Mohamed ^{[5
,6
]}

Cheri, Bahri-Belkacem ^{[1
,7
]}

机构：

[1] Qassim Univ, Coll Sci & Arts, Dept Math, Arras, Saudi Arabia

[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Oran 31000, Oran, Algeria

[3] Univ El Oued, Lab Operator Theory & PDEs Fdn & Applicat, Fac Exact Sci, Dept Math, El Oued, Algeria

[4] Larbi Tebessi Univ, Dept Math Informat & Syst LAMIS, Tebessa 12002, Algeria

[5] King Khalid Univ, Coll Sci, Math Dept, Abha 61413, Saudi Arabia

[6] South Valley Univ, Fac Sci, Math Dept, Qena 83523, Egypt

[7] Preparatory Inst Engn Studies Sfax, Sfax, Tunisia

来源：

JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷

关键词：

BLOW-UP; BEHAVIOR;

D O I：

10.1155/2021/5558818

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present research paper is related to the analytical studies of p-Laplacian heat equations with respect to logarithmic nonlinearity in the source terms, where by using an efficient technique and according to some sufficient conditions, we get the global existence and decay estimates of solutions.

引用

页数：11

共 50 条

[1] Existence and concentration of normalized solutions for p-Laplacian equations with logarithmic nonlinearity
Shen, Liejun
Squassina, Marco
JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 421 : 1 - 49
[2] Existence of global solutions and blow-up results for a class of p(x)-Laplacian Heat equations with logarithmic nonlinearity
Lalmi, Abdellatif
Toualbia, Sarra
Laskri, Yamina
FILOMAT, 2023, 37 (22) : 7527 - 7558
[3] EXISTENCE OF GLOBAL SOLUTIONS AND BLOW-UP FOR p-LAPLACIAN PARABOLIC EQUATIONS WITH LOGARITHMIC NONLINEARITY ON METRIC GRAPHS
Wang, Ru
Chang, Xiaojun
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 2022 (51)
[4] Existence and multiplicity of solutions for p-Laplacian fractional system with logarithmic nonlinearity
Carlos, Romulo D.
de Oliveira, Victor C.
Miyagaki, Olimpio H.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2025, (02) : 1 - 32
[5] On the p-Laplacian type equation with logarithmic nonlinearity: Existence, decay and blow up
Irkil, Nazli
FILOMAT, 2023, 37 (16) : 5485 - 5507
[6] Global Solution and Blow-up for a Class of p-Laplacian Evolution Equations with Logarithmic Nonlinearity
Le, Cong Nhan
Xuan Truong Le
ACTA APPLICANDAE MATHEMATICAE, 2017, 151 (01) : 149 - 169
[7] Existence of periodic solutions for a class of p-Laplacian equations
Xiaojun Chang
Yu Qiao
Boundary Value Problems, 2013
[8] Global Solution and Blow-up for a Class of p-Laplacian Evolution Equations with Logarithmic Nonlinearity
Cong Nhan Le
Xuan Truong Le
Acta Applicandae Mathematicae, 2017, 151 : 149 - 169
[9] Existence of periodic solutions for a class of p-Laplacian equations
Chang, Xiaojun
Qiao, Yu
BOUNDARY VALUE PROBLEMS, 2013,
[10] Existence and multiplicity of solutions for a class of p-Laplacian equations
Li, Lin
Chen, Shang-Jie
APPLIED MATHEMATICS LETTERS, 2014, 27 : 59 - 63

← 1 2 3 4 5 →