期刊论文详细信息
Boundary value problems | |
Perturbed nonlocal fourth order equations of Kirchhoff type with Navier boundary conditions | |
Giuseppe Caristi1  David Barilla1  Shapour Heidarkhani2  Amjad Salari3  | |
[1] Department of Economics, University of Messina, Messina, Italy;Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah, Iran;Young researchers and elite club, Kermanshah branch, Islamic Azad University, Kermanshah, Iran | |
关键词: three solutions; Kirchhoff-type equation; perturbed fourth-order boundary value problem; variational methods; critical point theory; 35J20; 35J40; 35J35; 31B30; 35G30; 74H20; 35Q35; | |
DOI : 10.1186/s13661-017-0817-6 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
We investigate the existence of multiple solutions for perturbed nonlocal fourth-order equations of Kirchhoff type under Navier boundary conditions. We give some new criteria for guaranteeing that the perturbed fourth-order equations of Kirchhoff type have at least three weak solutions by using a variational method and some critical point theorems due to Ricceri. We extend and improve some recent results. Finally, by presenting two examples, we ensure the applicability of our results.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904021520027ZK.pdf | 1694KB | download |