Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem

Sagun Chanillo; Jean Van Schaftingen; Po-Lam Yung

doi:10.1007/s11401-016-1069-y

Chinese Annals of Mathematics, Series B ›› 2017, Vol. 38 ›› Issue (1) : 235 -252. DOI: 10.1007/s11401-016-1069-y

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Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem

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Abstract

This paper offers a variant of a proof of a borderline Bourgain-Brezis Sobolev embedding theorem on ℝⁿ. The authors use this idea to extend the result to real hyperbolic spaces ℍⁿ.

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Bourgain-Brezis inequalities / Divergence-free vector fields / Sobolev inequalities / Real hyperbolic space

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Sagun Chanillo, Jean Van Schaftingen, Po-Lam Yung. Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem. Chinese Annals of Mathematics, Series B, 2017, 38(1): 235-252 DOI:10.1007/s11401-016-1069-y

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