Separable solutions of some quasilinear equations with source reaction

We study the existence of singular separable solutions to a class of quasilinear equations with reaction term. In the 2-dim case, we use a dynamical system approach to construct our solutions.Comment: 34 page

A note on maximal solutions of nonlinear parabolic equations with absorption

If $\Omega$ is a bounded domain in $\mathbb R^N$ and $f$ a continuous increasing function satisfying a super linear growth condition at infinity, we study the existence and uniqueness of solutions for the problem (P): $\partial_tu-\Delta u+f(u)=0$ in $Q_\infty^\Omega:=\Omega\times (0,\infty)$, $u=\infty$ on the parabolic boundary $\partial_{p}Q$. We prove that in most cases, the existence and uniqueness is reduced to the same property for the associated stationary equation in $\Omega$.Comment: \`A para\^itre \`a Asymptotic Analysi

The "red shelf" of the Hb line in the Seyfert 1 galaxies RXS J01177+3637 and HS 0328+05

A few Seyfert 1s have a Hb profile with a red wing usually called the "red shelf". The most popular interpretation of this feature is that it is due to broad redshifted lines of Hb and [OIII]4959,5007; we have observed two Seyfert 1s displaying a "red shelf" and showed that in these two objects the main contributor is most probably the HeI 4922,5016 lines having the velocity and width of the broad Hb component. There is no evidence for the presence of a broad redshifted component of Hb or [OIII] in any of these two objects.Comment: LaTeX file (uses AA vers. 5.1 class, enclosed), 8 pages, 9 figures. Accepted for publication in Astronomy & Astrophysics. Also available at http://www.obs-hp.fr/www/preprints.htm

Existence and stability of solutions of general semilinear elliptic equations with measure data

We study existence and stability for solutions of $Lu+g(x; u) = \omega$ in the closure of open set $\Omega$ where L is a second order elliptic operator, $g$ a Caratheodory function and $\omega$ a measure in $\bar\Omega$. We present a uni ed theory of the Dirichlet problem and the Poisson equation. We prove the stability of the problem with respect to weak convergence of the data.Comment: to appear in Advanced Nonlinear Studie

Boundary Harnack inequality and a priori estimates of singular solutions of quasilinear elliptic equations

We extend some classical results dealing with boundary Harnack inequatilities to a class of quasilinear elliptic equations and derive some new estimates for solutions of such equations with an isolated singularity on the boundary of a domain.Comment: 17 page

Boundary Value Problems with Measures for Elliptic Equations with Singular Potentials

We study the boundary value problem with Radon measures for nonnegative solutions of $-\Delta u+Vu=0$ in a bounded smooth domain \Gw, when $V$ is a locally bounded nonnegative function. Introducing some specific capacity, we give sufficient conditions on a Radon measure \gm on \prt\Gw so that the problem can be solved. We study the reduced measure associated to this equation as well as the boundary trace of positive solutions

Boundary singularities of positive solutions of some nonlinear elliptic equations

We study the behaviour near a boundary point a of any positive solution of a nonlinear elliptic equations with forcing term which vanishes on the boundary except at a. Our results are based upon a priori estimates for solutions and existence or non existence and uniqueness results for solutions of some nonlinear elliptic equations on the half unit sphere.Comment: 6 page

Miscellaneous observations of active galactic nuclei. II

We observed 37 AGN candidates and classified them on the basis of their spectroscopic properties; three are confirmed QSOs, one is a BL Lac object, nine are Seyfert 1 galaxies, four Seyfert 2s, while twenty are HII regions.Comment: LaTeX 2e, 15 pages (4 tables and 9 .eps figures included in text). Uses L-AA 3.0, epsf.tex and psfig.sty (not included). Accepted to appear in A&

Empower Users of Financial Information as the IASC Foundation's Stakeholders. Testimony to the IASC Foundations's Constitutional Review Round Table in London, 19 June 2008. Bruegel Policy Contribution, July 11, 2008

Nicolas Véron comments on the proposal for governance reform ('constitution review') published in May 2008 by the IASC Foundation, the private-sector body which oversees the setting of International Financial Reporting Standards (IFRS). He emphasizes the unprecedented nature of this global governance experiment and advocates more direct representation of investors as the primary stakeholders of international accounting standard-setting, as well a more thorough consultation process. EXECUTIVE SUMMARY. The creation of a new body with authority over Trustee appointments and reappointments is a crucial step for the IASC Foundation. This body is likely to be granted more authority in the future over other key governance functions, including the Foundation’s funding. In this respect, the proposed Monitoring Group contains significant flaws, the primary one being its inability to credibly represent at global level the investors and other capitalmarket users which should be considered the Foundation’s key stakeholders. Moreover, the very short timetable proposed for the first part of the Foundation’s Constitution Review is not warranted by the circumstances. The Foundation's Trustees should take a step back and consider a revised concept of oversight body as part of a onephase Constitution Review to be completed in 2009

A spectrophotometric atlas of Narrow-Line Seyfert 1 galaxies

We have compiled a list of 83 objects classified as Narrow-Line Seyfert 1 galaxies (NLS1s) or known to have a broad Balmer component narrower than 2000 km/s. Out of these, 19 turned out to have been spectroscopically misidentified in previous studies; only 64 of the selected objects are genuine NLS1s. We have spectroscopically observed 59 of them and tried to characterize their Narrow and Broad-Line Regions (NLR and BLR) by fitting the emission-lines with Gaussian and/or Lorentzian profiles. In most cases, the broad Balmer components are well fitted by a single Lorentzian profile. This has consequences concerning their FWHMs and line ratios: when the broad Balmer components are fitted with a Lorentzian, most narrow line regions have line ratios typical of Seyfert 2s while, when a Gaussian profile isused for fitting the broad Balmer components, the line ratios are widely scattered in the usual diagnostic diagrams (Veilleux & Osterbrock 1987). We find that, in general, the [O III] lines have a relatively narrow Gaussian profile (~ 200-500 km/s FWHM) with often, in addition, a second broad (~ 500-1800 km/s FWHM), blueshifted Gaussian component. We do not confirm that the [O III] lines are weak in NLS1s. As previously suggested, there is a continuous transition of all properties between NLS1s and classical Broad-Line Seyfert 1 Galaxies (BLS1s) and the limit of 2000 km/s used to separate the two species is arbitrary; R_4570, the ratio of the Fe II to the H_beta fluxes, could be a physically more meaningful parameter to distinguish them. (abridged abstract)Comment: LaTeX file, 24 pages, 15 figures, uses the new A&A macro (enclosed: aa5.cls). Figs. 1-5 and 7 are bitmapped; non-bitmapped, high quality figures are included in the .ps and .pdf versions of the paper, available at http://www.obs-hp.fr/www/preprints.html. Accepted for publication in Astronomy & Astrophysic