二阶非线性椭圆型微分方程新的振动准则

New Oscillation Criteria for Second Order Nonlinear Elliptic Differential Equations

利用新的核函数对如下非线性椭圆型方程▽.(A(x)▽y)+q(x)f(y)=e(x),x∈Ω建立了若干新的振动准则,其中Ω是Rn中外区域。所得结果比现有的结论有更高的一般性,并得到解的零点分布的信息。

By means of a new technique based on a class of functions H（r,s,l）, new oscillation criteria are established for the second order nonlinear elliptic differential equation △↓（A（x）△↓y）＋q（x）f（y）=e（x）,x∈Ω where Ω is an exterior domain in R^N. Our results have higher general than existing conclusions.Infor-matiabout the distribution of the zero of solutions is also obtained.