EXISTENCE OF THREE WEAK SOLUTIONS FOR KIRCHHOFF-TYPE PROBLEMS WITH VARIABLE EXPONENT AND NONHOMOGENEOUS NEUMANN CONDITIONS

被引：3

作者：

Heidarkhani, S. ^{[1
]}

De Araujo, A. L. A. ^{[2
]}

Afrouzi, G. A. ^{[3
]}

Moradi, S. ^{[3
]}

机构：

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

[2] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG, Brazil

[3] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran

来源：

FIXED POINT THEORY | 2020年 / 21卷 / 02期

关键词：

Variable exponent Sobolev spaces; p(x)-Kirchhoff-type problems; three weak solutions; variational methods; MULTIPLE SOLUTIONS; ELLIPTIC PROBLEMS; EQUATIONS; SPACES; FUNCTIONALS; (P(X);

D O I：

10.24193/fpt-ro.2020.2.38

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 three weak solutions for a class of differential equations with p(x)-Kirchhoff-type and subject to perturbations of nonhomogeneous Neumann conditions. Our technical approach is based on variational methods. Some applications and examples illustrate the obtained results.

引用

页码：525 / 548

页数：24

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