112,374 research outputs found
New Liouville theorems for linear second order degenerate elliptic equations in divergence form
No full textIn this paper we give conditions on the positive function phi(2) under which every bounded solution sigma of the elliptic equation V.(phi(2)delsigma) = 0 in R-n must be constant. The case when phi(2) only depends on one or two variables is discussed at length. Moreover the asymptotic behavior of possibly unbounded solutions is characterized improving in such a way a Liouville theorem due to Berestycki, Caffarelli and Nirenberg. (C) 2004 Elsevier SAS. All rights reserved
Harnack inequality and heat kernel estimates for the Schroedinger operator with Hardy potential
No full textIn this preliminary note we outline some results of the forthcoming paper [11], concerning positive solutions of the equation \partial_t u=\Delta u+ c/|x|^2 u (0<c<(n-2)^2/4; n\ge 3). A parabolic Harnack inequality is proved, which in particular implies a sharp two-sided estimate for the associated heat-kernel. Our approach relies on the unitary equivalence of the Schroedinger operator Hu=-\Delta u -c/|x|^2 u with the opposite of the weighted Laplacian \Delta_\lambda v=1/|x|^2 div(|x|^\lambda \nabla v) when \lambda=2-n+2\sqrt[c_0-c}
author-bios-SRD-19-0063.R1 – Supplemental material for The Network Structure of Police Misconduct
No full textSupplemental material, author-bios-SRD-19-0063.R1 for The Network Structure of Police Misconduct by George Wood, Daria Roithmayr and Andrew V. Papachristos in Socius</p
Going Beyond Counting First Authors in Author Co-citation Analysis
No full textThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
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