A weak comparison principle for solutions of very degenerate elliptic equations

2012/09/20 by Giulio Ciraolo, Ciraolo, Giulio · 1 citation
Mathematics · #35B51 #35D30 #35J70 #49K20 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B51 #msc:35D30 #msc:35J70 #msc:49K20

paper · pdf · doi:10.48550/arxiv.1209.4431

arxiv created 2012/12/20 · arxiv updated 2012/12/21

Abstract

We prove a comparison principle for weak solutions of elliptic quasilinear equations in divergence form whose ellipticity constants degenerate at every point where ∇ u ∈ K, where K⊂ ℝ^N is a Borel set containing the origin.

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• Weak comparison principle for widely degenerate elliptic equations

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