Hardy's inequality for functions vanishing on a part of the boundary

We develop a geometric framework for Hardy's inequality on a bounded domain when the functions do vanish only on a closed portion of the boundary.Comment: 26 pages, 2 figures, includes several improvements in Sections 6-8 allowing to relax the assumptions in the main results. Final version published at http://link.springer.com/article/10.1007%2Fs11118-015-9463-

Transfer of HIV-1-specific cytotoxic T lymphocytes to an AIDS patient leads to selection for mutant HIV variants and subsequent disease progression

An HIV-1-seropositive volunteer was infused with an expanded autologous cytotoxic T lymphocyte (CTL) clone directed against the HIV-1 nef protein. This clone was adoptively transferred to determine whether supplementing CTL activity could reduce viral load or improve clinical course. Unexpectedly, infusion was followed by a decline in circulating CD4+ T cells and a rise in viral load. Some of the HIV isolates obtained from the plasma or CD4+ cells of the patient were lacking the nef epitope. These results suggest that active CTL selection of viral variants could contribute to the pathogenesis of AIDS and that clinical progression can occur despite high levels of circulating HIV-1-specific CTLs

THE SQUARE ROOT PROBLEM FOR SECOND ORDER, DIVERGENCE FORM OPERATORS WITH MIXED BOUNDARY CONDITIONS ON L p

Abstract. We show that, under very general conditions on the domain Ω and the Dirichlet partD of the boundary, the operator ( −∇·µ∇+1) 1/2 with mixed boundary conditions provides a topological isomorphism between W 1,p D (Ω) and Lp (Ω), if p ∈]1,2]. hal-00737614, version 2- 23 Jan 201

Meanings of Living in Lodgings During Senior High School

Author's accepted version (post-print).acceptedVersio