北华大学学报（自然科学版）2025，Vol.26Issue(4)：421-427,7.DOI:10.11713/j.issn.1009-4822.2025.04.001
具特殊介质空隙的高阶抛物型p-Laplace方程解的性质
Properties of Solutions of Higher-order Parabolic p-Laplace Equations with Special Medium Voids
摘要
Abstract
Consider a class of higher-order parabolic p-Laplace equations with special medium voids.Using the potential well theory,this study establish the blow-up results for this problem.It is found that when 2＜q,and u(t)∈ W-1,the solution u(t)blows up in finite time.The lower bound of the blow-up time and the blow-up rate are derived using the Gagliardo-Nirenberg inequality and the Poincaré inequality.关键词
高阶p-Laplace方程/对数非线性项/特殊介质空隙Key words
higher-order p-Laplace equations/logarithmic nonlinear terms/special medium voids分类
数理科学引用本文复制引用
罗远珍,张帅,高云柱..具特殊介质空隙的高阶抛物型p-Laplace方程解的性质[J].北华大学学报（自然科学版）,2025,26(4):421-427,7.基金项目
吉林省科技发展计划项目(20230101282JC) （20230101282JC）
北华大学研究生创新计划项目(2024034). （2024034）
