Work

THE REFINED AREA FORMULA FOR SOBOLEV MAPPINGS $$W^{k,p}$$

Year: 2025

Type: article

Abstract: We establish the area formula for change-of-variable mappings in the Sobolev space $$W^{k,p}_{\text {loc}}$$ W loc k , p . Our approach relies on constructing Lipschitz approximations of Sobolev functions that agree with the original functions outside a set of Riesz capacity zero.

Source: Journal of Mathematical Sciences

DOI: 10.1007/s10958-025-07928-5

Author: Paz Hashash

Institution: Ben-Gurion University of the Negev

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,490

Funders: Israel Science Foundation, Ben-Gurion University of the Negev