Sara Barile
Abstract:
By means of a finite-dimensional reduction, we show
a multiplicity result of semiclassical solutions
to the singular nonlinear Schrodinger equation
where
,
,
and
are bounded potentials. Such solutions concentrate near
(non-degenerate) local extrema or a
(non-degenerate) manifold of stationary points of an
auxiliary function
related to the unperturbed electric field
and the coefficient
of the nonlinear term.
Submitted November 26, 2007. Published March 14, 2008.
Math Subject Classifications: 35J10, 35J60, 35J20, 35Q55, 58E05.
Key Words: Nonlinear Schrodinger equations; external magnetic field;
singular potentials; semiclassical limit.
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Sara Barile Dipartimento di Matematica, Politecnico di Bari Via Orabona 4, I-70125 Bari, Italy email: s.barile@dm.uniba.it |
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