60 citations · 402 across the 74 of their papers we have counts for
5 papers · 1 filter
On the Penrose Inequality for Charged Black Holes
Marcelo M. Disconzi, Marcus A. Khuri
In arXiv:0905.2622v1 and arXiv:0910.4785v1, Bray and Khuri outlined an approach to prove the Penrose inequality for general initial data sets of the Einstein equations. In this pap…
Existence and Blow-Up Behavior for Solutions of the Generalized Jang Equation
Qing Han, Marcus Khuri
The generalized Jang equation was introduced in an attempt to prove the Penrose inequality in the setting of general initial data for the Einstein equations. In this paper we give…
Smooth Solutions to a Class of Mixed Type Monge-Ampere Equations
Qing Han, Marcus Khuri
We prove the existence of C^{\infty} local solutions to a class of mixed type Monge-Ampere equations in the plane. More precisely, the equation changes type to finite order across…
Three Quasi-Local Masses
Neil N. Katz, Marcus A. Khuri
We propose a definition of quasi-local mass based on the Penrose Inequality. Two further definitions are given by measuring distortions of the exponential map.
Compactness and Non-compactness for the Yamabe Problem on Manifolds With Boundary
Marcelo M. Disconzi, Marcus A. Khuri
We study the problem of conformal deformation of Riemannian structure to constant scalar curvature with zero mean curvature on the boundary. We prove compactness for the full set o…