Nontrivial Solutions of a Class of Fourth-Order Elliptic Problems with Potentials

被引：0

作者：

Zuo, Jiabin ^{[1
]}

El Allali, Zakaria ^{[2
]}

Taarabti, Said ^{[3
]}

机构：

[1] Changchun Normal Univ, Coll Math, Changchun 130032, Peoples R China

[2] Mohammed First Univ, Multidisciplinary Fac Nador, Dept Math, Team Modeling & Sci Comp,LAMAO, Oujda 60000, Morocco

[3] Ibn Zohr Univ, Natl Sch Appl Sci Agadir, LISTI, Agadir 80000, Morocco

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 10期

关键词：

nontrivial solutions; fourth-order; mountain pass lemma; existence; KIRCHHOFF TYPE; EXISTENCE;

D O I：

10.3390/fractalfract6100568

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with a fourth-order elliptic equation with Dirichlet boundary conditions. Using a variant form of the mountain pass theorem, we prove the existence of nontrivial solutions to this problem. Furthermore, we discuss the fundamental properties of the representation of the solution by considering two cases. Our results not only make previous results more general but also show new insights into fourth-order elliptic problems.

引用

页数：11

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