Jia-Feng Zhang, Wen-Min Li, Xiao-Wu Li, Hong-Min Suo, Multiple solutions for a class of non-homogeneous p(x)-Kirchhoff type equations, Vol. 2023 (2023), Article ID 17, pp. 1-14

Full Text: PDF
DOI: 10.23952/jnfa.2023.17

Received November 11, 2022; Accepted April 5, 2023; Published May 2, 2023

Abstract. 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 $\lambda =0$ , we obtain the existence of infinite many solutions by using the symmetric mountain pass theorem.

How to Cite this Article:
J.F. Zhang, W.M. Li, X.W. Li, H.M. Suo, Multiple solutions for a class of non-homogeneous p(x)-Kirchhoff type equations, J. Nonlinear Funct. Anal. 2023 (2023) 17.