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arXiv · 1406.4574

Existence of multiple solutions to a class of nonlinear Schr\"{o}dinger system with external sources terms

Zexin Qi·Zhitao Zhang
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Abstract

We study a class of nonlinear schr\"{o}dinger system with external sources terms as perturbations in order to obtain existence of multiple solutions, this system arises from Bose-Einstein condensates etc..As these external sources terms are positive functions and small in some sense, we use Nehari manifold to get the existence of a positive ground state solution and a positive bound state solution.

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Zexin Qi, Zhitao Zhang. 2014-06-18. Existence of multiple solutions to a class of nonlinear Schr\"{o}dinger system with external sources terms. https://arxiv.org/abs/1406.4574

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