Back to Global Minimization

Part of the Progress in Nonlinear Differential Equations and Their Applications book series (PNLDE, volume 70)


In this chapter, we establish which solutions, among the ones found in Theorem 11.1, minimize the energy globally. This of course depends on the value hex. As hex increases, we will see that the minimizers have one, then two, then more and more vortices, as predicted by the physics. This allows us to give precise expansions of the critical fields.


Global Minimizer Stable Solution Critical Field Integer Part General Domain 
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© Birkhäuser Boston 2007

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