We prove that if Ω ⊆ R2 is bounded and R2 \Ω satisfies suitable structural assumptions (for example it has a countable number of connected components), then W 1,2(Ω) is dense in W 1,p(Ω) for every 1 ≤ p < 2. The main application of this density result is the study of stability under boundary variations for nonlinear Neumann problems of the form ( −divA(x,∇u) +B(x, u) = 0 in Ω, A(x,∇u) · ν = 0 o...

The cyanamides NCNR2 (R2 = Me2, Ph2, C5H10) react with ZnX2 (X = Cl, Br, I) in a 2 : 1 molar ratio at RT, giving a family of zinc(ii) complexes [ZnX2(NCNR2)2] (R2 = Me2, X = Cl , X = Br , X = I ; R2 = C5H10, X = Cl , X = Br ; X = I ; R2 = Ph2, X = Cl , X = Br , X = I ; 75-92% yields). Complexes and undergo ligand redistribution in wet CH2Cl2 solutions giving the [Zn(NCNPh2)4(H2O)2][Zn2(μ-X)2X4]...

OBJECTIVES The aim of this study was to assess the impact of oral water and intravenous furosemide challenges on blood oxygenation level-dependent magnetic resonance imaging measurements in the kidney and to examine the contribution of R2 (=1/T2) to changes in R2* (=1/T2*). MATERIALS AND METHODS This Health Insurance Portability and Accountability Act-compliant study had institutional review ...

The main objective of this study was to evaluate the anaerobic conversion of vinasse into biomethane with gradual increase in organic loading rate (OLR) in two upflow anaerobic sludge blanket (UASB) reactors, R1 and R2, with volumes of 40.5 and 21.5L in the mesophilic temperature range. The UASB reactors were operated for 230 days with a hydraulic detection time (HDT) of 2.8d (R1) and 2.8-1.8d ...

An immunization regimen was evaluated in rabbits consisting of the soluble, oligomeric form of envelope glycoprotein of HIV-1, strain R2 (gp140(R2)), or the surface component of the same envelope (Env), gp120(R2), in the adjuvant AS02A. The gp140(R2) was selected based on its unusual CD4-independent phenotype and the exceptionally broad neutralizing response in the infected donor. The gp140(R2)...

Measurements of hepatic iron concentration (HIC) are important predictors of transfusional iron burden and long-term outcome in patients with transfusion-dependent anemias. The goal of this work was to develop a readily available, noninvasive method for clinical HIC measurement. The relaxation rates R2 (1/T2) and R2* (1/T2*) measured by magnetic resonance imaging (MRI) have different advantages...

Measurements of hepatic iron concentration (HIC) are important predictors of transfusional iron burden and long-term outcome in patients with transfusiondependent anemias. The goal of this work was to develop a readily available, noninvasive method for clinical HIC measurement. The relaxation rates R2 (1/T2) and R2* (1/T2*) measured by magnetic resonance imaging (MRI) have different advantages ...