具有对数非线性项的伪抛物型 p-Laplacian 型方程的初边值问题

潘嘉慧, 房少梅

doi:10.13371/j.cnki.chin.q.j.m.2023.04.003

数学季刊 >

2023 , Vol. 38 >Issue 4: 360 - 369

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2023.04.003

具有对数非线性项的伪抛物型 p-Laplacian 型方程的初边值问题

展开

College of Mathematics and Information, South China Agricultural University,
Guangzhou 510642, China

PAN Jia-hui (1998-), female, native of Shaoguan, Guangdong, graduate student of South China Agricultural University, engages in partial differential equation; FANG Shao-mei (1964-), female, native of Guangzhou, Guangdong, professor of South China Agricultural University, engages in partial differential equation.

收稿日期: 2022-07-29

网络出版日期: 2023-12-15

基金资助

Supported by the National Natural Science Foundation of China (Grant No. 11271141).

收起

Initial Boundary Value Problem for Pseudo-Parabolic p-Laplacian Type Equation with Logarithmic Nonlinearity

Expand

College of Mathematics and Information, South China Agricultural University,
Guangzhou 510642, China

Received date: 2022-07-29

Online published: 2023-12-15

Supported by

Supported by the National Natural Science Foundation of China (Grant No. 11271141).

Fold

摘要

In this paper, we study the initial boundary value problem of pseudo-parabolic p-Laplacian type equation, which be use to model some important physical and biological phenomena. By using the potential well method, we obtain the global existence, asymptotic behavior and blow up results of weak solution with subcritical initial energy. Then we also extend these results to the critical initial energy.

关键词： Pseudo-parabolic equation; p-Laplacian; Logarithmic nonlinearity

本文引用格式

潘嘉慧, 房少梅 . 具有对数非线性项的伪抛物型 p-Laplacian 型方程的初边值问题[J]. 数学季刊, 2023 , 38(4) : 360 -369 . DOI: 10.13371/j.cnki.chin.q.j.m.2023.04.003

Abstract

Key words： Pseudo-parabolic equation; p-Laplacian; Logarithmic nonlinearity

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract