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arXiv · 0905.1848

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

Hans Christianson·Jeremy Marzuola
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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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Hans Christianson, Jeremy Marzuola. 2014-11-26. Existence and stability of solitons for the nonlinear Schrödinger equation on hyperbolic space. https://doi.org/10.1088/0951-7715%2F23%2F1%2F005

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