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Authors: MIHAI MIHĂILESCU, DENISA STANCU-DUMITRU.
DOI: 10.24193/subbmath.2023.1.08
Published Online: 2023-03-20
Published Print: 2023-04-30
pp. 109-123
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The goal of this paper is to collect some known results on the monotonicity with respect to p of the best constants associated with Sobolev immersions of type W 1,p(Ω) ''''''''→ Lq (Ω) when q ∈ {1, p, ∞}. More precisely, letting we recall some monotonicity results related with the following functions when Ω ⊂ RD is a given open, bounded and convex set with smooth boundary.
Mathematics Subject Classification (2010): 35Q74, 47J05, 47J20, 49J40, 49S05.
Keywords: p-Laplacian, p-torsional rigidity, distance function to the boundary.
