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arXiv · 1712.00592

Standing waves of modified Schrödinger equations coupled with the Chern-Simons gauge theory

Pietro d'Avenia·Alessio Pomponio·Tatsuya Watanabe
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Abstract

We are interested in standing waves of a modified Schrödinger equation coupled with the Chern-Simons gauge theory. By applying a constraint minimization of Nehari-Pohozaev type, we prove the existence of radial ground state solutions. We also investigate the non-existence for nontrivial solutions.

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Pietro d'Avenia, Alessio Pomponio, Tatsuya Watanabe. 2017-12-02. Standing waves of modified Schrödinger equations coupled with the Chern-Simons gauge theory. https://arxiv.org/abs/1712.00592

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