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May 1, 2026Proceedings of the London Mathematical Society

Correction to Sobolev functions on varifolds

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Key Points

This note aims to correct inaccuracies in the proof of Theorem 3.6 related to Sobolev functions on varifolds.
Correction of the proof presented in the original paper.
Review and analysis of Theorem 3.6.
Clarification of mathematical arguments and steps.
Identified errors in the original proof of Theorem 3.6.
Provided revised arguments to support corrected results.

Implication

Correction addresses proof errors in Sobolev functions on varifolds, impacting mathematical understanding.

Abstract

This note corrects the proof of Theorem 3.6 of Sobolev functions on varifolds in Proc. Lond. Math. Soc. (3), 113 (2016), no. 6, 725–774.

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Cite This Study

Ulrich Menne (2026) studied this question.

synapsesocial.com/papers/6a080ae2a487c87a6a40cdef https://doi.org/10.1112/plms.70164

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1Corrigenda to “𝐿^{𝑝} estimates and asymptotic behavior for finite energy solutions of extremals to Hardy-Sobolev inequalities”, Trans. Amer. Math. Soc. 363 (2011), no. 1, 37–62Original Research · 2026
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