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arXiv · 2210.00256

Remarks on extremals of sharp Sobolev trace inequalities on the unit balls

Cheikh Birahim Ndiaye·Liming Sun
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Abstract

We show explicit forms for extremals of some fourth-order sharp trace inequalities on the unit balls recently proved by Ache-Chang. We also give a classification result of the bi-harmonic equation on $\mathbb{R}^4_+$ with some conformally covariant boundary conditions.

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Cheikh Birahim Ndiaye, Liming Sun. 2022-10-01. Remarks on extremals of sharp Sobolev trace inequalities on the unit balls. https://arxiv.org/abs/2210.00256

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