考虑有界区域上 p-Kirchhoff 型方程在 Dirichlet 边界条件下解的存在性,应用山路定理得到了当非线性项满足渐近线性增长条件时 p-Kirchhoff 型方程两个非平凡解的存在性。%This paper deals with the existence of solutions for p-Kirchhoff type equations in bounded domains under Dirichlet boundary condition. When the nonlinearity is asymptotically linear at infinity,there exist two nontrivial solutions of the p-Kirchhoff type equation which can be proved with the aid of the mountain pass theorem.
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