The refined area formula for Sobolev mappings W^k,p

2025/08/05 by Hashash, Paz
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.03880

Abstract

We establish the area formula for change-of-variable mappings in the Sobolev space W^k,p_loc. Our approach relies on constructing Lipschitz approximations of Sobolev functions that agree with the original functions outside a set of Riesz capacity zero.

Citations

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

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