A weak comparison principle for solutions of very degenerate elliptic equations

Giulio Ciraolo

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arXiv · 1209.4431

A weak comparison principle for solutions of very degenerate elliptic equations

Giulio Ciraolo

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Abstract

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.

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Giulio Ciraolo. 2012-09-20. A weak comparison principle for solutions of very degenerate elliptic equations. https://arxiv.org/abs/1209.4431

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