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

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

Chinese Quarterly Journal of Mathematics ›› 2023, Vol. 38 ›› Issue (4): 360-369.doi: 10.13371/j.cnki.chin.q.j.m.2023.04.003

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

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

Received:2022-07-29 Online:2023-12-30 Published:2023-12-15
Contact: FANG Shao-mei (1964-), female, native of Guangzhou, Guangdong, professor of South China Agricultural University, engages in partial differential equation. E-mail:dz90@scau.edu.cn
About author: 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.
Supported by:
Supported by the National Natural Science Foundation of China (Grant No. 11271141).

Abstract

CLC Number:

O175.29

PAN Jia-hui, FANG Shao-mei. Initial Boundary Value Problem for Pseudo-Parabolic p-Laplacian Type Equation with Logarithmic Nonlinearity[J]. Chinese Quarterly Journal of Mathematics, 2023, 38(4): 360-369.

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[2]	WANG Wan-peng. Existence of Positive Solutions for A Fourth-order Boundary Value Problems with p-Laplacian Operators [J]. Chinese Quarterly Journal of Mathematics, 2018, 33(4): 377-385.
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[7]	YANG Guo-ying, QI Rui-gai. Existence of Positive Solution for a p-Laplacian System [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(4): 549-555.
[8]	LIU Xing-yuan. Solvability of Non-homogeneous Mixed Type Multi-point BVPs for Second Order Differential Equations with p-Laplacian [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(3): 372-377.
[9]	LIU Yu-ji. Picard Boundary Value Problems of Second Order p-Laplacian Diﬀerential Equations [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 77-84.
[10]	GUO Hong-xia, HAN Xian-jun. Initial Boundary Value Problems for a Class of Non-linear Pseudo-parabolic Equation [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(3): 335-343.
[11]	RAO Ruo-feng, HE Qing-gao. Non-zero Solution for the Quasi-linear Elliptic Equation [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 117-124.
[12]	SONG Chang-ziu . Positive Solutions of p-Laplacian Functional Difference Equations [J]. Chinese Quarterly Journal of Mathematics, 2007, 22(4): 475-481.

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

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