Publication Date:
2015-09-15
Description:
We show the existence of multi-bump solutions to a magnetic nonlinear Schrödinger equation with subcritical superlinear nonlinearity, − ( ∇ − i λ A ) 2 u = f ( u 2 ) u on ℝ N under some assumptions. Moreover, we show that the solutions are localized near every prescribed connected component of the interior of the zero set of the magnetic field B = dA as λ → ∞.
Print ISSN:
0022-2488
Electronic ISSN:
1089-7658
Topics:
Mathematics
,
Physics
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