The Nonlinear Schrödinger Equation for Orthonormal Functions: Existence of Ground States
نویسندگان
چکیده
We study the nonlinear Schr\"odinger equation for systems of $N$ orthonormal functions. prove existence ground states all when exponent $p$ non linearity is not too large, and an infinite sequence $N_j$ tending to infinity in whole range possible $p$'s, dimensions $d\geq1$. This allows us that translational symmetry broken a quantum crystal Kohn-Sham model with large Dirac exchange constant.
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2021
ISSN: ['0003-9527', '1432-0673']
DOI: https://doi.org/10.1007/s00205-021-01634-7