Search results for "Weak comparison principle"

A weak comparison principle for solutions of very degenerate elliptic equations

2012

We prove a comparison principle for weak solutions of elliptic quasilinear equations in divergence form whose ellipticity constants degenerate at every point where \(\nabla u\in K\), where \(K\subset \mathbb{R }^N\) is a Borel set containing the origin.