For N ≥ 3 and p > 1, we consider the nonlinear Schrödinger equation i∂ t w + ∆ x w + V (x) |w| p−1 w = 0 where w = w(t, x) : R × R N → C with a potential V that decays at infinity like |x| −b for some b ∈ (0, 2). A standing wave is a solution of the form w(t, x) = e iλt u(x) where λ > 0 and u : R N → R. For 1 < p < 1 + (4 − 2b)/(N − 2), we establish the… (More)
Mouse brain expresses three principal glucose transporters. Glut1 is an endothelial marker and is the principal glucose transporter of the blood-brain barrier. Glut3 and Glut6 are expressed in glial cells and neural cells. A mouse line with a null allele for Glut3 has been developed. The Glut3(-/-) genotype is intrauterine lethal by 7days post-coitis, but… (More)
For a class of functions H : (0, ∞)×R 2 + → R, including discontinuous functions of Carathéo-dory type, we establish that R N H(|x|, u(x), v(x))dx ≤ R N H(|x|,u * (x), v * (x))dx, where u * (x) and v * (x) denote the Schwarz symmetrizations of nonnegative functions u and v.
Insulin resistance in metabolic syndrome subjects is profound in spite of muscle insulin receptor and insulin-responsive glucose transporter (GLUT4) expression being nearly normal. Insulin receptor tyrosine kinase phosphorylation of insulin receptor substrate-1 (IRS-1) at Tyr896 is a necessary step in insulin stimulation of translocation of GLUT4 to the… (More)
Stem-cell antigen 1-positive (Sca-1+) cardiac stem cells (CSCs), a vital kind of CSCs in humans, promote cardiac repair in vivo and can differentiate to cardiomyocytes with 5'-azacytizine treatment in vitro. However, the underlying molecular mechanisms are unknown. β-arrestin2 is an important scaffold protein and highly expressed in the heart. To explore… (More)
We discuss the propagation of electromagnetic waves of a special form through an inhomogeneous isotropic medium which has a cylindrical symmetry and a nonlinear dielectric response. For the case where this response is of self-focusing type the problem is treated in . Here we continue this study by dealing with a defocusing dielectric response. This tends… (More)
Secondary Analysis of Diabetes and Psychological Distress in American Indian Women from the California Health Interview Survey (CHIS) Since European settlers arrived to the United States (U.S.), American Indians (AI) have been separate and unequal members of society. After a long history of discrimination, ethnocide, genocide, and distrust, the AI have… (More)