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In this work we consider the magnetic NLS equation
where , is a magnetic potential, possibly unbounded, is a multi-well electric potential, which can vanish somewhere, is a subcritical nonlinear term. We prove the existence of a semiclassical multi-peak solution to (0.1), under conditions on the nonlinearity which are nearly optimal.
In this work we consider the magnetic NLS equation
where , is a magnetic potential,
possibly unbounded, is a multi-well electric
potential, which can vanish somewhere, is a subcritical
nonlinear term. We prove the existence of a semiclassical multi-peak
solution to (0.1), under conditions
on the nonlinearity which are nearly optimal.
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