In this paper we prove a weighted Sobolev inequality in a bounded domain Ω ⊂ R^n, n ≥ 1, of a homogeneous space (R^n,ρ,wdx), under suitable compatibility conditions on the positive weight functions (v, w, ω1, ω2, . . . , ωn) and on the quasi-metric ρ.
Sobolev inequality with non-uniformly degenerating gradient
Monsurrò Sara
2022-01-01
Abstract
In this paper we prove a weighted Sobolev inequality in a bounded domain Ω ⊂ R^n, n ≥ 1, of a homogeneous space (R^n,ρ,wdx), under suitable compatibility conditions on the positive weight functions (v, w, ω1, ω2, . . . , ωn) and on the quasi-metric ρ.File in questo prodotto:
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