Existence of a minimizer for a nonlinear Schrödinger system with three wave interaction under non-symmetric potentials

Yuki Osada ()
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Yuki Osada: Tokyo Metropolitan University

Partial Differential Equations and Applications, 2022, vol. 3, issue 2, 1-18

Abstract: Abstract In this paper, we show the existence of a minimizer for the $$L^2$$ L 2 -constrained minimization problem associated with a nonlinear Schrödinger system with three wave interaction without assuming symmetry for potentials.

Keywords: Existence of minimizer; $$L^2$$ L 2 -constrained minimization; Nonlinear Schrödinger system; Three wave interaction; Non-symmetric potential; Primary 35Q55; Secondary 35J50 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s42985-022-00160-9

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