in this paper‎, ‎we prove a multiplicity result for some biharmonic elliptic equation of kirchhoff type and involving nonlinearities with critical exponential growth at infinity‎. ‎using some variational arguments and exploiting the symmetries of the problem‎, ‎we establish a multiplicity result giving two nontrivial solutions‎.

Network architecture can lead to robust synchrony in coupled systems and, surprisingly, to codimension one bifurcations from synchronous equilibria at which the associated Jacobian is nilpotent. We prove three theorems concerning nilpotent Hopf bifurcations from synchronous equilibria to periodic solutions, where the critical eigenvalues have algebraic multiplicity two and geometric multiplicit...

We study variants of P systems that are working in the sequential mode. Usually, they are not computationally complete, but there are possible extensions that can increase the computation power. Extensions that implement a notion of zero-checking are often computationally complete. P systems with an ability to create new membranes are a rare exception as they are known to be computationally com...

The initial impact of a disaster can lead to a variety of associated hazards. By taking a multi-hazard viewpoint with respect to disaster response and recovery, there is an opportunity to allocate limited resources more effectively, particularly in the context of long-term planning for community sustainability. This working paper introduces an approach for extending quantitative resource alloca...

Motivated by the need of developing stochastic nonlinear model-based methods to characterize uncertainty for chemical process estimation, control, identification, and experiment design purposes, in this paper the problem of characterizing the global dynamics of single-state nonlinear stochastic system is addressed. An isothermal CSTR with Langmuir-Hinshelwood kinetics is considered as represent...

Fire is a phenomenon that covers a multiplicity of scales depending on the different processes involved. Length scales range from the nanometres when addressing material flammability to the kilometres when dealing with forest fires, while time scales cover a broad spectrum too. Heating of structural elements can be measured in hours while characteristic chemical times for reactions do not excee...

Background The mycobacterial catalase-peroxidases protect it from the reactive oxidative metabolites and allow its survival within the host phagocytes. We compared the virulence of Mycobacterium avium complex (MAC) clinical isolates with varying catalase activity recovered from the blood of HIV patients in terms of invasiveness and intracellular multiplicity in host cells. The catalase activity...