The density of superconductivity in domains with corners.

We compute the L2<inline-graphic></inline-graphic>-norm of any minimizer of the Ginzburg-Landau functional in a planar domain with a finite number of corners. Our computations are valid for a uniform applied magnetic field, large Ginzburg-Landau parameter and in the regime where superconductivity is confined near the corners of the domain. [ABSTRACT FROM AUTHOR]