Elliptic systems, integral functionals and singular sets

1 March 2004
Guiseppe Mingione
I shall give a brief overview of the partial regularity results for minima of integral functionals and solutions to elliptic systems, concentrating my attention on possible estimates for the Hausdorff dimension of the singular sets; I shall also include more general variational objects called almost minimizers or omega-minima. Open questions will be discussed at the end.
  • Applied Analysis and Mechanics Seminar