Jeffrey S. Case

activity

20152020

most citedThe Frank-Lieb approach to sharp Sobolev inequalities

6 citations · 17 across the 8 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.DG2019★ 6 cited

The Frank-Lieb approach to sharp Sobolev inequalities

Jeffrey S. Case

Frank and Lieb gave a new, rearrangement-free, proof of the sharp Hardy-Littlewood-Sobolev inequalities by exploiting their conformal covariance. Using this they gave new proofs of…

math.AP2019★ 3 cited

On a fully nonlinear sharp Sobolev trace inequality

Jeffrey S. Case, Yi Wang

We classify local minimizers of $\int σ_{2} + \oint H_{2}$ among all conformally flat metrics in the Euclidean $(n + 1)$ -ball, $4 \leq n \leq 5$ , for which the boundary has unit volume, subje…