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

2023/11/15 by Bayrami, Masoud, Fotouhi, Morteza, Shahgholian, Henrik · 1 citation
#35J60 #35R35 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.09073

Abstract

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=1^m |∇ v_i(x) |^p+ λχ_\|v |>0\ (x) dx, 1

Cited by

• Boundary regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals with non-standard growth

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