Three solutions for a nonlinear equation involving p-triharmonic operators

被引：0
|
作者：
Shokooh S. [1 ]
机构：
[1] Department of Mathematics, Faculty of Basic Sciences, Gonbad Kavous University, Gonbad Kavous
来源：
Journal of Nonlinear Functional Analysis | 2021年 / 2021卷 / 01期
关键词：
Nonlinear problems; P-triharmonic operators; Variational methods;
D O I：
10.23952/JNFA.2021.9
中图分类号：
学科分类号：
摘要：
The existence of at least three weak solutions for a nonlinear elliptic Navier boundary value problem involving the p-triharmonic operator is investigated. The main tools used for obtaining our results are two critical points theorems established in [B. Ricceri, A three critical points theorem revisited, Nonlinear Anal. 9 (2009), 3084-3089] and [G. Bonanno, S.A. Marano, On the structure of the critical set of non-differentiable functionals with a weak compactness condition, Appl. Anal. 89 (2010), 1-10]. © 2021 Journal of Nonlinear Functional Analysis
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