Summary
The potential in Schrödinger’s equation is a nonlocal functional of the wave function. Lower-bound estimates on the associated coupling constant are obtained via Young’s inequality.
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Efinger, H.J. Lower-bound estimates on the coupling constant of certain nonlinear Schrödinger equations byL p-inequalities. Lett. Nuovo Cimento 35, 218–220 (1982). https://doi.org/10.1007/BF02754644
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DOI: https://doi.org/10.1007/BF02754644