Minimization problems and corresponding renormalized energies (Q1916331)

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scientific article; zbMATH DE number 896466
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Minimization problems and corresponding renormalized energies
scientific article; zbMATH DE number 896466

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    Minimization problems and corresponding renormalized energies (English)
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    3 February 1997
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    Some interesting connections are shown between the minimizers of some parametrized extremal problems (the goal function of which contains the Dirichlet energy integral) and the limits of the minimizers, when the mentioned parameters go to zero. Asymptotic expansions are intensively used and the Ginzburg-Landau energy functional (containing a parameter itself) serves as a remarkable example.
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    Dirichlet integral
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    Ginzburg-Landau functional
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