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.

引用

页码：195 / 209

页数：15

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