关键词: 存在性, 非平凡解, 拟线性椭圆方程, 山路定理

Abstract:

We investigated the existence of nontrivial solutions of some quasilinear elliptic equations, obtaining a new existence result solution of the equations by applying the mountain pass theorem under asymptotic behavior of the nonlinearity at zero and at infinity.

Key words: existence, nontrivial solution, quasilinear elliptic equation, mountain pass theorem