Jeffrey S. Case

collaborators

3 papers

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…

math.DG2015

A Remark on the Kernel of the CR Paneitz operator

Jeffrey S. Case, Sagun Chanillo, Paul Yang

For CR structures in dimension three, the CR pluriharmonic functions are characterized by the vanishing of a third order operator. This third order operator, after composition with…