Standing waves of modified Schr\"odinger equations coupled with the Chern-Simons gauge theory
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chern-simonscoupledgaugemodifiedodingerschrsolutionsstanding
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We are interested in standing waves of a modified Schr\"odinger 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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