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

collaborators

Showing 2016Show all

2 papers · 1 filter

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…

math.DG2016

A weighted renormalized curvature for manifolds with density

Jeffrey S. Case

We introduce a scalar invariant on manifolds with density which is analogous to the renormalized volume coefficient $v_{3}$ in conformal geometry. We show that this invariant is vari…