奇异非线性椭圆型方程组边值问题正解的存在唯一性

Existence and Uniqueness of Positive Solutions for Singular Nonlinear Boundary Value Problems of Elliptic Systems

利用锥上混合单调算子不动点定理研究一类非线性椭圆型方程组的Dirichlet边值问题,在非线性项为混合单调的条件下,得到了该非线性椭圆型方程组正解的存在唯一性.

Using mixed monotone fixed point theorem in the cone th eory,we studied Dirichlet boundary value problems of nonlinear elliptic systems with singularity,obtaining the existence and the uniqueness of positive solutions for nonlinear elliptic systems,under conditions of the nonlinear terms being mixed monotone.