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math.AP2015
Ground state patterns and phase transition of spin-1 Bose-Einstein condensates via Γ-convergence theory
I-Liang Chern, Chiu-Fen Chou, Tien-Tsan Shieh
We develop an analytic theory for the ground state patterns and their phase transitions for spin-1 Bose-Einstein condensates on a bounded domain in the presence of a uniform magnet…
math.AP2015
-theory for fractional gradient PDE with VMO coefficients
Armin Schikorra, Tien-Tsan Shieh, Daniel Spector
In this paper, we prove estimates for the fractional derivatives of solutions to elliptic fractional partial differential equations whose coefficients are . In particula…