On ground state of fractional spinor Bose Einstein condensates. (English) Zbl 1437.35172

Cao, Daomin; He, Jinchun; Xu, Haoyuan; Yang, Meihua

Adv. Differ. Equ. 25, No. 3-4, 105-134 (2020).

Summary: In this paper, we prove the existence of the positive ground state solution to fractional spin-1 Bose-Einstein condensation (BEC) in one dimension.

MSC:

35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35R11	Fractional partial differential equations
35A01	Existence problems for PDEs: global existence, local existence, non-existence

Keywords:

Bose-Einstein equation; fractional Laplacian; existence of solutions