2009/05/31 by Hans Christianson, Jeremy Marzuola
Mathematics · #math.AP #msc:35Q55 #msc:35Q51
paper · pdf · doi:10.1088/0951-7715/23/1/005
New: As noted in Banica-Duyckaerts (arXiv:1411.0846), Section 5 should read that for sufficiently large mass, sub-critical problems can be solved via energy minimization for all d \geq 2 and as a result Cazenave-Lions results can be applied in Section 6 with the same restriction. These requirements were addressed by the subsequent work with Metcalfe and Taylor in arXiv:1203.3612
arxiv created 2014/11/26 · arxiv updated 2015/05/13
We study the existence and stability of ground state solutions or solitons to a nonlinear stationary equation on hyperbolic space. The method of concentration compactness applies and shows that the results correlate strongly to those of Euclidean space.