一类超线性p(x)-Laplace方程解的存在性

Existence of Solutions to a Class of Superlinear p( x)- Laplace Equation

研究一类p(x)-Laplace方程的Dirichlet边值问题,这里的非线性项是超线性的,在经典的(AR)条件不成立的前提条件下,利用Morse理论得到该问题非平凡解的存在性.

In this paper, the Dirichlet boundary problem studied, where the nonlinearity is superlinear. Under no （AR） obtained through using Morse theory. to a class ofp（x） condition, existence -Laplace equations is of nontrivial solution is