What question did this study set out to answer?

To correct inaccuracies in Theorem 2.9 and improve clarity in Vassilev's findings.

February 22, 2026

Corrigenda 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, 37–62

Key Points

To correct inaccuracies in Theorem 2.9 and improve clarity in Vassilev's findings.
Provided corrections for stated claims and proofs in Section 1.6.
Identified and rectified several typographical errors.
Enhanced some previously established results.
The corrections clarify the original claims made in Vassilev's work.
Strengthened results provide a more reliable framework for Hardy-Sobolev inequalities.

Abstract

The claim and the proof of Theorem 2.9 in Vassilev Trans. Amer. Math. Soc. 363 (2011), no. 1, 37–62 are not correct as stated. We give a correction in Section 1.6. In addition, we correct several typos in the text and strengthen slightly some results of Vassilev Trans. Amer. Math. Soc. 363 (2011), no. 1, 37–62.

Bookmark

Corrigenda 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, 37–62

Key Points

Abstract

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