We give, first, two new applications related to the range characterization of trace operator in H 2 (Ω). After this, we characterize Sobolev spaces W 3,p (Ω) when Ω is a connected bounded domain ℝ with Lipschitz-continuous boundary.

Breast cancer represents one of the most common forms of cancer in women worldwide, with an increase in the number of newly diagnosed patients in the last decade. The role of fatty acids, particularly of a diet rich in ω-3 and ω-6 polyunsaturated fatty acids (PUFAs), in breast cancer development is not fully understood and remains controversial due to their complex mechanism of action. However,...

The binding energy of the six quark system with strangeness s=-3 is investigated under the chiral SU(3) constituent quark model in the framework of RGM. The calculations of the single NΩ channel with spin S=2 and the single ∆Ω channel with spin S=3 are performed. The results show that both systems could be dibaryons and the interaction induced by the chiral field plays a very important role on ...

We present the first observation of Ωc0→Ω−μ+νμ decay and measurements branching fraction ratios Ωc0→Ω−ℓ+νℓ decays compared to reference mode Ωc0→Ω−π+, (ℓ=e or μ). This analysis is based on 89.5 fb−1, 711 121.1 fb−1 data samples collected with Belle detector at KEKB asymmetric-energy e+e− collider center-of-mass energies 10.52 GeV, 10.58 10.86 respectively. The Ωc0 signal yields are extracted by...

We consider the Keller-Segel-type migration-consumption system involving signal-dependent motilities, {ut=Δ(uϕ(v)),vt=Δv−uv,in smoothly bounded domains Ω⊂Rn, n≥1. Under assumption that ϕ∈C1([0,∞)) is positive on [0,∞), and for nonnegative initial data from (C0(Ω¯))⋆×L∞(Ω), previous literature has provided results global existence of certain very weak solutions with possibly quite poor regularit...

The Omega ratio (Ω-ratio) was proposed by Shadwick and Keating in 2002 as a performance measure applied to rankings of assets, portfolios or funds. It involves partitioning returns into loss and gain below and above a given threshold. The original version was designed for decision making under risk (probabilities completely known), but recent research has shown that this measure can be adapted ...