半线性非一致椭圆方程的局部最大值原理及其在Hessian方程上的应用

摘要

We obtain a local maximum principle for the semilinear nonuniformly elliptic equations in divergence form, and then show the local C1,1 estimate and a Bernstein type result for the solutions of the Hessian equations.%本文获得了一个半线性散度型非一致椭圆方程的局部最大值原理,并由此导出了Hessian方程解的局部C1,1估计和一个Bernstein型结果.