In this note we use the Nehari manifold and fibering maps to show existence of positive solutions for a nonlinear biharmonic equation in a bounded smooth domain in Rn, when n = 5, 6, 7. Mathematics Subject Classification: 35J35, 35J40

We propose a logic-based method to protect network nodes or web sites from Denial of Service (DoS) attacks. This method is based upon Logical Fibering. Queries to the node are stored inside the fiber and decisions whether a new query should be accepted or not are taken on an empirical basis. The respective base space consists of the incoming information whereas the fiber itself describes the un...

Given a map f : M → N of closed topological manifolds we define torsion obstructions whose vanishing is a necessary condition for f being homotopy equivalent to a projection of a locally trivial fiber bundle. If N = S, these torsion obstructions are identified with the ones due to Farrell [5].

ion Based Information Technology is a way of understanding knowledge, interaction and control in many different domains. It explicitly covers humanities in this sense whereas the approaches mentioned above remained much more on a purely mathematical and/or computational side for better control and easier modeling. The concept “ABIT” (Abstraction Based Information Technology) proposed in (Calmet...