Key points are not available for this paper at this time.
We consider local minimizers of the Ginzburg-Landau energy functionaland prove that, if the 0 level set is included in a flat cylinder then, in the interior, it is included in a flatter cylinder.As a consequence we prove a conjecture of De Giorgi which states that level sets of global solutions ofare hyperplanes in dimension n ≤ 8.
Ovidiu Savin (Thu,) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: