Existence of one weak solution for p(x)-biharmonic equations with Navier boundary conditions

被引：33

作者：

Heidarkhani, S. ^{[1
]}

Afrouzi, G. A. ^{[2
]}

Moradi, S. ^{[2
]}

Caristi, G. ^{[3
]}

Ge, Bin ^{[4
]}

机构：

[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[3] Univ Messina, Dept SEAM, Messina, Italy

[4] Harbin Engn Univ, Dept Appl Math, Harbin 150001, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2016年 / 67卷 / 03期

关键词：

Navier condition; p(x)-biharmonic operator; Existence result; Variational methods; MULTIPLE SOLUTIONS; 4TH-ORDER; SYSTEMS;

D O I：

10.1007/s00033-016-0668-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of at least one weak solution for a class of elliptic Navier boundary value problems involving the p(x)-biharmonic operator. Our technical approach is based on variational methods. In addition, an example to illustrate our results is given.

引用

页数：13

共 28 条

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