Three solutions to a Neumann boundary value problem driven by p(x)-biharmonic operator

被引：1
|
作者：
Allali, Zakaria El [1 ]
Hamdani, Mohamed Karim [2 ,3 ,4 ]
Taarabti, Said [5 ]
机构：
[1] Mohammed First Univ, Multidisciplinary Fac Nador, Team Modeling & Sci Comp, LaMAO, Oujda, Morocco
[2] Mil Acad, Ctr Mil Res, Sci & Technol Def Lab LR19DN01, Grombalia, Tunisia
[3] Mil Sch Aeronaut Special, Sfax, Tunisia
[4] Univ Sfax, Fac Sci Sfax, Math Dept, Sfax, Tunisia
[5] Ibn Zohr Univ, Natl Sch Appl Sci Agadir, LISTI, Agadir, Morocco
来源：
JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS | 2024年 / 10卷 / 01期
关键词：
p(x)-biharmonic; Three solutions; Variable exponent; Neumann boundary conditions; 4TH-ORDER EIGENVALUE PROBLEM; VARIABLE EXPONENT; EXISTENCE;
D O I：
10.1007/s41808-023-00257-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we establish the existence of at least three distinct weak solutions for a specific class of quasilinear elliptic equations. These equations incorporate the p(x)-biharmonic operator and are constrained by Neumann boundary conditions. Our technical approach is primarily founded on Ricceri's three critical points theorem (Nonlinear Anal 70:3084-3089, 2009). In addition, we give an example to show our key findings.
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页码：195 / 209
页数：15
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