MULTIPLE SOLUTIONS FOR A CLASS OF NON-HOMOGENEOUS p(x)-KIRCHHOFF TYPE EQUATIONS

被引：0
|
作者：
Zhang J.-F. [1 ]
Li W.-M. [1 ]
Li X.-W. [1 ]
Suo H.-M. [1 ]
机构：
[1] School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang
来源：
Journal of Nonlinear Functional Analysis | 2023年 / 2023卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Multiplicity; p(x)-Kirchhoff problem; Variable exponent; Variational methods;
D O I：
10.23952/JNFA.2023.17
中图分类号：
学科分类号：
摘要：
The main aim of this paper is to investigate the existence of nontrivial solutions for a class of variable exponent p(x)-Kirchhoff type equations. We prove the existence of three solutions by using the mountain pass theorem and Ekeland’s variational principle. Moreover, when λ = 0, we obtain the existence of infinite many solutions by using the symmetric mountain pass theorem. ©2023 Journal of Nonlinear Functional Analysis.
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