Area quasi-minimizing partitions with a graphical constraint: relaxation and two-dimensional partial regularity

HIGHLIGHTS

  • who: Marco Bonacini from the Department of Mathematics, University of Trento, Trento, Italy have published the research work: Area Quasi-minimizing Partitions with a Graphical Constraint: Relaxation and Two-Dimensional Partial Regularity, in the Journal: (JOURNAL)
  • what: The aim of this paper is to initiate the analytical investigation of variational models for partitions with quasi-minimal surface area, subject to a geometric graph constraint. In the first part, the authors focus on its lower semicontinuity with respect to the L 1 -topology, and the authors identify in Theorem 3.1 the lower semicontinuous envelope F . . .

     

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