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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2 papers · 1 filter

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…

math.AP2016

A fully nonlinear Sobolev trace inequality

Jeffrey S. Case, Yi Wang

The $k$ -Hessian operator $σ_{k}$ is the $k$ -th elementary symmetric function of the eigenvalues of the Hessian. It is known that the $k$ -Hessian equation $σ_{k} (D^{2} u) = f$ with Dirichlet…