On removable singular sets for solutions of higher order differential inequalities

2022/02/23 by Kon'kov, A. A., Shishkov, A. E.
#35B08 #35B44 #35J30 #35J70 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.11605

Abstract

We obtain conditions guaranteeing that weak solutions of the differential inequality ∑_{|α| = m} ∂^α a_α(x, u) ≥ f (x) g (|u|) in Ω∖ S, has a removable singular set S ⊂ Ω, where Ω is a bounded domain and a_α, f, and g are some functions.

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