Results 61 to 70 of about 6,200,707 (327)
A certain critical density property for invariant Harnack inequalities in H-type groups
We consider second order linear degenerate-elliptic operators which are elliptic with respect to horizontal directions generating a stratified algebra of H-type. Extending a result by Guti\'errez and Tournier for the Heisenberg group, we prove a critical
Tralli, Giulio
core +1 more source
Nontrivial solutions for nonlinear problems with one sided resonance
We find nontrivial smooth solutions for nonlinear elliptic Dirichlet problems driven by the p-Laplacian ($1<p<infty$), when one sided resonance occurs at the principal spectral interval.
George Smyrlis
doaj
From self-affirmation to national security threat
This paper aims to study the main stages of cyberattacks’ evolution in terms of the danger they pose, from the first hooligan cyberattacks to modern cyberwars.
Yuriy Yu. Nizovtsev+2 more
doaj +1 more source
A stepwise emergence of evolution in the RNA world
How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley +1 more source
Critical mass and the dependency of research quality on group size
Academic research groups are treated as complex systems and their cooperative behaviour is analysed from a mathematical and statistical viewpoint. Contrary to the naive expectation that the quality of a research group is simply given by the mean calibre ...
A. Nußbaumer+10 more
core +1 more source
We generalize the notion of local linking to include certain cases where the functional does not have a local splitting near the origin. Applications to second-order Hamiltonian systems are given.
Kanishka Perera
doaj +1 more source
On criticality coupled sub-Laplacian systems with Hardy type potentials on Stratified Lie groups
In this work, our main concern is to study the existence and multiplicity of solutions for the following sub-elliptic system with Hardy type potentials and multiple critical exponents on Carnot group $ \begin{equation*} \left\{\begin{aligned} & ...
Jinguo Zhang , Shuhai Zhu
doaj +1 more source
The enzyme 5‐lipoxygenase (5‐LOX) catalyzes the first step in the biosynthesis of leukotrienes (LTs) involved in inflammatory pathophysiology. After cellular stimulation, 5‐LOX translocates to the nucleus, interacting with the 5‐LOX‐activating protein (FLAP) to form LTA4 from arachidonic acid (AA).
Erik Romp+5 more
wiley +1 more source
Multiple solutions with sign information for Robin equations with indefinite potential
In this paper, we study a Robin boundary value problem driven by the Laplace operator plus an indefinite potential term. The reaction is of the logistic type.
Nikolaos S. Papageorgiou+2 more
doaj +1 more source
UDP‐glucuronic acid 4‐epimerase (UGAepi) catalyzes NAD+‐dependent interconversion of UDP‐glucuronic acid (UDP‐GlcA) and UDP‐galacturonic acid (UDP‐GalA) via C4‐oxidation, 4‐keto‐intermediate rotation, and C4‐reduction. Here, Borg et al. examined the role of the substrate's carboxylate group in the enzymic mechanism by analyzing NADH‐dependent reduction
Annika J. E. Borg+2 more
wiley +1 more source