The relaxed area of ?1-valued singular maps in the strict bv-convergence

HIGHLIGHTS

• who: Bellettini Giovanni and collaborators from the (UNIVERSITY) have published the article: The relaxed area of 𝕊1-valued singular maps in the strict BV-convergence, in the Journal: (JOURNAL) of February/10,/2022
• what: The aim of this paper is to study the relaxation of the area in S=BV (Ω; R2 ) in a different topology, stronger than the L1 -topology, to possibly avoid nonlocality and keep some control of the gradient terms. The authors focus on maps w ∈ W 1,1 (Bℓ; S1 ) of the form (1.12), where ϕ: S1 → S1 is a Lipschitz map . . .
  

   

  

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