On Lipschitz approximations in second order Sobolev spaces and the change of variables formula

2021/03/08 by Hashash, Paz, Ukhlov, Alexander · 1 citation
#28A75 #31B15 #46E35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2103.04720

Abstract

In this paper we study approximations of functions of Sobolev spaces W²_p,\loc(Ω), Ω⊂\mathbb Rⁿ, by Lipschitz continuous functions. We prove that if f∈ W²_p,\loc(Ω), 1≤ p

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