Existence and Concentration of Solutions for the Chern–Simons–Schrödinger System with General Nonlinearity
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DOI: 10.1007/s00025-016-0553-8
Abstract: In this paper, we study the nonlinear Chern–Simons–Schrödinger system with an external potential. Under some suitable conditions on the potential and nonlinearity, we prove the existence, multiplicity and concentration of solutions by using variational methods. read more here.
Keywords: concentration solutions; dinger system; chern simons; simons schr ... See more keywords
Chern–Simons–Schrödinger theory on a one-dimensional lattice
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DOI: 10.1007/s11005-020-01293-x
Abstract: We propose a gauge-invariant system of the Chern–Simons–Schrödinger type on a one-dimensional lattice. By using the spatial gauge condition, we prove local and global well-posedness of the initial-value problem in the space of square summable… read more here.
Keywords: schr dinger; chern simons; dimensional lattice; simons schr ... See more keywords