关键词: 多重性, 山路定理, p-Kirchhoff型方程

Abstract:

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.

Key words: multiplicity, mountain pass theorem, p-Kirchhoff type equation