Local existence and blow up for p-Laplacian equation with logarithmic nonlinearity

Miskolc Mathematical Notes

article

Nazli Irkil¹  E. Piskin¹ 

[1] Dicle University, Department of Mathematics

关键词: existence;    blow up;    p-Laplacian equation;    logarithmic nonlinearity;   

DOI  :  10.18514/MMN.2022.3490

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

This paper deals with a problem of a wave equation with p-Laplacian and logarithmic nonlinearity term. Firstly, local existence of weak solutions have been obtained by applying Banach fixed theorem. Later, the finite-time blow up of the solutions have been obtained for negative initial energy.

【 授权许可】

CC BY