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Regularity theory for minimisers of the perimeter

Course Type: 
PhD Course
Academic Year: 
2020-2021
Period: 
June - July
Duration: 
20 h
Description: 

Program:

  • Quick review of the theory of sets of finite perimeter.
  • Partial regularity theory for the omega-minimizers of the perimeter:
      • the epsilon-regularity theorem,
      • the regularity of Lambda-minimizers and application to the prescribed mean curvature problem.
  • Sketch of the proof of the full regularity in lower dimensions.
Location: 
Room 134 (Room 136 on June 17)
Next Lectures: 

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