63 citations · 179 across the 14 of their papers we have counts for
Showing 2013Show all
3 papers · 1 filter
math.CA2013
Axisymmetric critical points of a nonlocal isoperimetric problem on the two-sphere
Rustum Choksi, Ihsan Topaloglu, Gantumur Tsogtgerel
On the two dimensional sphere, we consider axisymmetric critical points of an isoperimetric problem perturbed by a long-range interaction term. When the parameter controlling the n…
gr-qc2013★ 9 cited
Non-CMC Solutions of the Einstein Constraint Equations on Compact Manifolds with Apparent Horizon Boundaries
M. Holst, C. Meier, G. Tsogtgerel
In this article we continue our effort to do a systematic development of the solution theory for conformal formulations of the Einstein constraint equations on compact manifolds wi…
gr-qc2013★ 20 cited
The Lichnerowicz equation on compact manifolds with boundary
Michael Holst, Gantumur Tsogtgerel
In this article we initiate a systematic study of the well-posedness theory of the Einstein constraint equations on compact manifolds with boundary. This is an important problem in…