Core-collapse supernovae resulting in black hole formation are expected to feature a precipitous decline neutrino luminosity. The authors provide considerable nuance this picture by considering non-radial emission both the spherically symmetric (Schwarzschild) and rotating (Kerr) cases. In each of these cases, they show that neutrinos affect luminosity cut-off shape interesting ways indicate ri...

By means of a nonlinear separation of the variables in the governing full set of the magnetohydrodynamic (MHD) equations for axisymmetric plasmas we analyse an exact model for magnetized and rotating outflows which are hotter and overpressured at their axis. These outflows start subsonically and subAlfvénically from the central gravitating source and its surrounding accretion disk. Subsequently...

Received 15 July 2009; Accepted 29 September 2009 Academic Editor: Norimichi Hirano Copyright q 2010 Enea Parini. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The asymptotic behaviour of the second eigenvalue of the p-Laplacian...

Bugs (Insecta: Heteroptera) are frequently used as examples of unusual cytogenetic characters, and the family Cimicidae is one of most interest in this respect. We have performed a cytogenetic study of the common bed bug Cimex lectularius Linnaeus, 1758 using both classical (Schiff-Giemsa and AgNO3-staining) and molecular cytogenetic techniques (base-specifi c DAPI/CMA3 fl uorochromes and FISH ...

We study the critical Neumann problem $ \begin{equation*} \begin{cases} -\Delta u = |u|^{2^*-2}u &\text{in }\Sigma_\omega,\\ \quad\frac{\partial u}{\partial\nu} 0 &\text{on }\partial\Sigma_\omega, \end{cases} \end{equation*} in unbounded cone $\Sigma_\omega: \{tx:x\in\omega\text{ and }t>0\}$, where $\omega$ is an open connected subset of unit sphere $\mathbb{S}^{N-1}$ $\mathbb{R}^N$ ...

Through desingularization of Clifford torus, we prove the existence of a sequence of nondegenerate (in the sense of Duyckaerts-Kenig-Merle ([?])) nodal nonradial solutions to the critical Yamabe problem −∆u = n(n− 2) 4 |u| 4 n−2 u, u ∈ D(R). The case n = 4 is the first example in the literature of a solution with maximal rank N = 2n+ 1 + n(n−1) 2 . Introduction Consider the problem −∆u = γ|u|p−...