一个非线性椭圆型偏微分方程的正解

Positive Solutions for a Nonlinear Elliptic Partial Differential Equation

研究了一个非线性椭圆型偏微分方程 .通过应用山路引理 ,证明了在较弱的条件下 ,方程至少存在两个解 .事实上 ,我们减弱了已给文献常用的 (AR)

In this paper, nonlinear elliptic partial differential equation is studied. By using the Mountain Pass Theorem, it is proved that the equation has two weak positive solutioins under weaker conditions. In fact, the (AR) condition which is often used in the literature is weakened.