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

Author： Christianson Hans   Marzuola Jeremy L  

Publisher： IOP Publishing

ISSN： 0951-7715

Source： Nonlinearity, Vol.23, Iss.1, 2010-01, pp. : 89-106

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Abstract

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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