论文标题
完全非线性和p-Laplace方程的不均匀边界原理
The Inhomogeneous Boundary Harnack Principle for Fully Nonlinear and p-Laplace equations
论文作者
论文摘要
我们证明了在Lipschitz域中的边界harnack原理，对于完全非线性和$ p $ laplace类型方程，右手方以及右侧的$ p $ laplace类型方程，以及在额外条件下无接口的laplace方程。该方法是全新的，并提供了一种系统的方法来证明各种方程和几何形状的相似结果。
We prove a boundary Harnack principle in Lipschitz domains with small constant for fully nonlinear and $p$-Laplace type equations with a right hand side, as well as for the Laplace equation on nontangentially accessible domains under extra conditions. The approach is completely new and gives a systematic approach for proving similar results for a variety of equations and geometries.
