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

共 50 条

[1] Multiple solutions for Kirchhoff-type problems with variable exponent and nonhomogeneous Neumann conditions
Heidarkhani, Shapour
De Araujo, Anderson L. A.
Afrouzi, Ghasem A.
Moradi, Shahin
MATHEMATISCHE NACHRICHTEN, 2018, 291 (2-3) : 326 - 342
[2] EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR p ( x ) -KIRCHHOFF TYPE PROBLEMS WITH NONHOMOGENEOUS NEUMANN CONDITIONS
Gharehgazlouei, Fariba
Heidarkhani, Shapour
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2024, 16 (02): : 135 - 150
[3] Sign-Changing Solutions for Kirchhoff-Type Problems with Variable Exponent
Chu, Changmu
Yu, Ying
JOURNAL OF MATHEMATICS, 2023, 2023
[4] EXISTENCE OF WEAK SOLUTIONS FOR THREE-POINT BOUNDARY VALUE PROBLEMS OF KIRCHHOFF-TYPE
Tavani, Mohammad Reza Heidari
Khodabakhshi, Mehdi
MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 539 - 554
[5] On the Nonhomogeneous Kirchhoff-type Problems
Aissaoui, Narimane
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (03)
[6] On the Nonhomogeneous Kirchhoff-type Problems
Narimane Aissaoui
Mediterranean Journal of Mathematics, 2023, 20
[7] Infinitely many solutions to elliptic problems with variable exponent and nonhomogeneous Neumann conditions
D'Agui, Giuseppina
Sciammetta, Angela
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (14) : 5612 - 5619
[8] EXISTENCE OF WEAK SOLUTIONS FOR THREE-POINT BOUNDARY-VALUE PROBLEMS OF KIRCHHOFF-TYPE
Afrouzi, Ghasem A.
Heidarkhani, Shapour
Moradi, Shahin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2016,
[9] Existence results for an anisotropic variable exponent Kirchhoff-type problem
Massar, Mohammed
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024, 69 (02) : 234 - 251
[10] Existence and multiplicity of solutions for Kirchhoff-type potential systems with variable critical growth exponent
Chems Eddine, Nabil
APPLICABLE ANALYSIS, 2023, 102 (04) : 1250 - 1270

← 1 2 3 4 5 →