We investigate existence and qualitative behavior of solutions to nonlinear Schrodinger equations with critical exponent and singular electromagnetic potentials. We are concerned with magnetic vector potentials which are homogeneous of degree -1, including the Aharonov-Bohm class. In particular, by variational arguments we prove a result of multiplicity of solutions distinguished by symmetry properties.

Solutions to nonlinear Schrödinger equations with singular electromagnetic potential and critical exponent

TERRACINI, Susanna
2011-01-01

Abstract

We investigate existence and qualitative behavior of solutions to nonlinear Schrodinger equations with critical exponent and singular electromagnetic potentials. We are concerned with magnetic vector potentials which are homogeneous of degree -1, including the Aharonov-Bohm class. In particular, by variational arguments we prove a result of multiplicity of solutions distinguished by symmetry properties.
2011
10
147
180
http://arxiv.org/pdf/1009.3386.pdf
Laura Abatangelo;Susanna Terracini
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/122733
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