Mathematics - Research News

Solutions to upper critical fractional Choquard equations with potential

 Mathematics - Research News
 21 March 2020
Xinfu Li, Shiwang Ma, Guang Zhang. Source: Advances in Differential Equations, Volume 25, Number 3/4, 135--160.Abstract: In this paper, the upper critical fractional Choquard equation is considered. The interest in studying such equation comes from its strong connections with mathematical physics,...

On ground state of fractional spinor Bose Einstein condensates

 Mathematics - Research News
 21 March 2020
Daomin Cao, Jinchun He, Haoyuan Xu, Meihua Yang. Source: Advances in Differential Equations, Volume 25, Number 3/4, 105--134.Abstract: In this paper, we prove the existence of the positive ground state solution to fractional spin-1 Bose-Einstein condensation(BEC) in one dimension. ...

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