Existence and stability of solitons for the nonlinear Schr\"odinger equation on hyperbolic space
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🧮 math.AP
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spaceequationexistencehyperbolicnonlinearsolitonsstabilityapplies
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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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