On the number of single-peak solutions of the nonlinear Schrödinger equation

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Ground states of nonlinear Schrödinger equations with potentials vanishing at infinity (2005, background): “We limit ourselves to citing a few recent papers [5, 6, 8, 9, 11, 12, 15, 16], referring to their bibliography for a broader list of works, although still not exhaustive.”
Spikes in Two-component Systems of Nonlinear Schrodinger Equations with Trapping Potentials (2006, background): “We refer the reader for instance to [1, 3, 2, 4, 5, 8, 9, 10, 12, 14, 15, 16, 17, 18, 22, 23, 25, 26] and the references therein.”
Concentration on curves for nonlinear Schrödinger Equations (2007, background): “We refer the reader, for instance, to [2, 4, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18, 22, 31, 32, 34, 36, 37, 38].”
Concentration phenomenon for fractional nonlinear Schr\"{o}dinger equations (2013, background): “We limit ourselves to citing a few recent papers [3, 4, 6, 7, 28, 10, 42, 53, 29], referring to their bibliography for a broader list of works, although still not exhaustive.”
Concentrating standing waves for the fractional nonlinear Schr\"odinger equation (2013, background): “Multiple spikes for disjoint nontrivial linking regions were first considered in [10], see also [5,16] for other multiplicity results.”