一类具对数非线性项的p-Laplacian方程解的无穷大爆破  

Blow-up at Infinity of Solutions to a Class of p-Laplacian Equation with Logarithmic Nonlinear Term

作　　者：武宇宇 高云柱[1] WU Yuyu;GAO Yunzhu(College of mathematics and statistics,Beihua University,Jilin,132013,Jilin)

机构地区：[1]北华大学数学与统计学院,吉林吉林132013

出　　处：《北华大学学报（自然科学版）》2022年第5期566-569,共4页Journal of Beihua University（Natural Science）

基　　金：吉林省教育厅科学技术研究项目(JJKH20220040KJ);北华大学研究生创新计划项目(2022036).

摘　　要：研究一类具有对数非线性项的p-Laplacian方程,利用对数索伯列夫不等式、Gronwall不等式以及位势井理论,给出了该问题解的能量恒等式以及解的无穷大爆破性.A class of p-Laplacian equation with logarithmic nonlinear term is studied.By using logarithmic Sobolev inequality,Gronwall inequality and potential well theory,the energy identity and blow-up at infinity of the solution for the problem are given.

关 键 词：P-LAPLACIAN方程 对数非线性项 无穷大爆破 

分 类 号：O175.29[理学—数学]