Local Minimizers of the Ginzburg-Landau Energy with Magnetic Field in Three Dimensions |
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| Authors: | Robert Jerrard Alberto Montero Peter Sternberg |
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| Institution: | (1) Department of Mathematics, University of Toronto, Toronto, Ontario, Canada, M5S 3G3;(2) Department of Mathematics, Indiana University, Bloomington, IN 47405, USA |
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| Abstract: | We establish the existence of locally minimizing vortex solutions to the full Ginzburg-Landau energy in three dimensional simply-connected domains with or without the presence of an applied magnetic field. The approach is based upon the theory of weak Jacobians and applies to nonconvex sample geometries for which there exists a configuration of locally shortest line segments with endpoints on the boundary.Research partially supported by NSERC grant number 261955 |
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