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

Jia-feng Zhang,Wen-min Li,Xiao-wu Li,Hong-min Suo

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS（2023）

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

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关键词

Multiplicity,p ( x ) -Kirchhoff problem,Variable exponent,Variational methods.

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