The effect of concentrating potentials in some singularly perturbed problems

By G. Cerami, D. Passaseo. 2003

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Normalized solutions of mass supercritical Schrödinger equations with potential (2020, background): “Now we recall the notion of barycentre of a function u ∈ H(R )\{0} which has been introduced in [7] and in [13].”
Positive solutions for some non-autonomous Schrödinger–Poisson systems (2010, background): “To do this, we first remind the definition of the barycenter of a function u ∈ H1(R3), u = 0 given in [10].”
Spherical semiclassical states of a critical frequency for Schrodinger equations with decaying potentials (2006, background): “We mention [7, 11, 12, 15, 16] for some related problems on solutions with multidimensional concentrations.”