椭圆型方程混合边值问题解的几个先验估计

A Few Estimates for Classical Solutions of Mixed Boundary-Value Problems of Elliptic Equations

导出了椭圆型方程混合边值问题解的先验估计,并用它证明非线性混合边值问题正解的存在。

In this paper, C2+∝,wp1 and wp2 estimates for the classical solutions of mixed boundary value problems of Elliptic equations are derived and the characteristic of trace when the classical solutions are on the boundary are discussed. Then they are applied to demonstrate the existence of positive solutions of, nonlinear mixed boundary-value problem.