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Multiple Solutions for a Class of Non-homogeneous p(x)-Kirchhoff Type Equations
  • Jiafeng Zhang,
  • Hong-Min Suo
Jiafeng Zhang
Guizhou Minzu University

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Hong-Min Suo
GuiZhou Minzu University
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In this paper we are interested in the existence of nontrivial solutions for a class of variable exponent $p(x)$-Kirchhoff type equations. We are able to 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 symmetric mountain pass theorem.