具p-双调和算子的非局部椭圆方程Navier边值问题的广义解

Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (2): 205-0210.

Previous Articles Next Articles

Generalized Solutions to Nonlocal Elliptic Equations Navier Boundary Value Problems with p-Biharmonic Operators

LIU Jian¹, ZHAO Zengqin²

1. School of Statistics and Mathematics, Shandong University of Finance and Economics, Jinan 250014, China;
2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong Province, China

Received:2023-06-12 Online:2024-03-26 Published:2024-03-26

Abstract

Abstract: By using variational methods and corresponding critical points theorems, we investigated a class of nonlocal elliptic equations Navier boundary value problems with p-biharmonic operators. We obtained two existence theorems for nontrivial generalized solutions
when nonlinear terms satisfied super-linear conditions.

Key words: , nonlocal elliptic equation, Navier boundary value problem, p-biharmonic operator, variational method, generalized solution

CLC Number:

O175.2

LIU Jian, ZHAO Zengqin. Generalized Solutions to Nonlocal Elliptic Equations Navier Boundary Value Problems with p-Biharmonic Operators[J].Journal of Jilin University Science Edition, 2024, 62(2): 205-0210.

[1]	NA Yang, WANG Hongyue, DU Runmei. Optimal Control Problem of Intraspecific Competition Model [J]. Journal of Jilin University Science Edition, 2024, 62(2): 243-0248.
[2]	LI Yao, LIU Hongwei, LV Jiamin, YOU Hailong. Improved Approximate Optimal Gradient Method Based on Zhang-Hager Line Search [J]. Journal of Jilin University Science Edition, 2024, 62(2): 263-0272.
[3]	YAN Bingwen, CHEN Mi, LIU Haiyan. Robust Optimal Investment-Reinsurance Problems under Stackelberg Differential Game [J]. Journal of Jilin University Science Edition, 2024, 62(2): 273-0284.
[4]	DUAN Jin, ZHANG Wenxue, MO Suxin, JIANG Xiaojiao, GAO Meiling. Analysis of Target Background Difference Feature Based on Statistical Characteristics of Polarization Direction [J]. Journal of Jilin University Science Edition, 2024, 62(2): 369-0380.
[5]	CHENG Hongtao, FU Xiaoxue, LI Hengyu. Optimal Design of Zoom Endoscope Based on Variable Focal Power Lens [J]. Journal of Jilin University Science Edition, 2024, 62(2): 431-0436.
[6]	YANG Weijie, LI Jie, LI Yanxia, ZHAO Hui. Dithiocarbamate Modified GO Material and Its Adsorption Performance for Cu²⁺ [J]. Journal of Jilin University Science Edition, 2024, 62(2): 444-0451.
[7]	WEN Shuran, MA Zhanshan, ZHAN Dongling. Extraction Process Optimization of Ganoderma Triterpenes [J]. Journal of Jilin University Science Edition, 2024, 62(2): 452-0463.
[8]	MENG Meizhen, WANG Nan, QIN Yufei, YU Shuyi, KANG Chunli. Remediation of Cr(Ⅵ)-Contaminated Soil by Pure Water Extraction Combined with Oxalic Acid Freezing Reduction Method [J]. Journal of Jilin University Science Edition, 2024, 62(2): 464-0472.
[9]	GUO Rui, WANG Xuan. Time-Dependent Pullback Attractors for Non-autonomous Beam Equation with Nonlocal Structural Damping [J]. Journal of Jilin University Science Edition, 2024, 62(2): 211-0221.
[10]	LI Yuepeng, WANG Yuanqiang. Design, Synthesis and Affinity Evaluation of Novel Targeted αvβ6 Polypeptides [J]. Journal of Jilin University Science Edition, 2024, 62(1): 181-0188.
[11]	XIAO Xiangzhen, HU Linfeng. Theoretical Calculations on Enhancement of NO Adsorption and Direct Dissociation Reaction Performance by Fe and Ir Doping on Single Layer MoS₂ Surface [J]. Journal of Jilin University Science Edition, 2024, 62(1): 165-0173.
[12]	YAO Xingyu, LIU Yingrui, HAN Weiwei, WAN Youzhong. Using Markov Model to Study Conformational Transformation Process of Aβ Mutant [J]. Journal of Jilin University Science Edition, 2024, 62(1): 174-0180.
[13]	WANG Yanfei, HOU Qiang, HU Hongping. Dynamic Analysis of Animal Brucellosis Model Based on Detection Behavior [J]. Journal of Jilin University Science Edition, 2023, 61(6): 1251-1260.
[14]	LIU Xin, ZHANG Jianying. Lattice Boltzmann Method to Solve Modified Time Fractional Equation [J]. Journal of Jilin University Science Edition, 2023, 61(6): 1333-1338.
[15]	HONG Yong, ZHAO Qian. Construction Theorem of Semi-discrete Hilbert-Type Inverse Inequality with Generalized Homogeneous Kernel and Operator Representation#br# [J]. Journal of Jilin University Science Edition, 2023, 61(6): 1305-1312.

Generalized Solutions to Nonlocal Elliptic Equations Navier Boundary Value Problems with p-Biharmonic Operators

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0