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Lipschitz regularity of a weakly coupled vectorial almost-minimizers for the p-Laplacian

Bayrami, M ; Sharif University of Technology | 2024

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jde.2024.08.040
  3. Publisher: 2024
  4. Abstract:
  5. For a given constant λ>0 and a bounded Lipschitz domain D⊂Rn (n≥2), we establish that almost-minimizers of the functional J(v;D)=∫D∑i=1m|∇vi(x)|p+λχ{|v|>0}(x)dx,1
  6. Keywords:
  7. Almost-minimizer ; Alt-caffarelli-type functional ; Boundary regularity ; Vectorial p-laplacian
  8. Source: Journal of Differential Equations ; Volume 412 , 2024 , Pages 447-473 ; 00220396 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0022039624005229