Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space

Details Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space

2009-05-12

arxiv.org/abs/0905.1848v2

Mathematics

Analysis of PDEs

Updated references; minor typos corrected

Scientific paper

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.

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