Results 51 to 60 of about 200,235 (314)

Existence, uniqueness, localization and minimization property of positive solutions for non-local problems involving discontinuous Kirchhoff functions

Advances in Nonlinear Analysis
Let Ω⊂Rn\Omega \subset {{\bf{R}}}^{n} be a smooth bounded domain. In this article, we prove a result of which the following is a by-product: Let q∈]0,1[q\in ]0,1{[}, α∈L∞(Ω)\alpha \in {L}^{\infty }\left(\Omega ), with α>0\alpha \gt 0, and k∈Nk\in {\bf{N}}
Ricceri Biagio
doaj   +1 more source

On a Class of Nonlinear Elliptic Equations with General Growth in the Gradient

Mathematics
In this paper, we prove an existence and uniqueness result for a class of Dirichlet boundary value problems whose model is −Δpu=β|∇u|q+c|u|p−2u+fin Ω,u=0on ∂Ω, where Ω is an open bounded subset of RN, N≥2 ...
M. Francesca Betta, Anna Mercaldo, Roberta Volpicelli   +2 more
doaj   +1 more source

Theorems on Positive Data: On the Uniqueness of NMF [PDF]

, 2008
We investigate the conditions for which nonnegative matrix factorization (NMF) is unique and introduce several theorems which can determine whether the decomposition is in fact unique or not.
Pumbley, Mark, Plumbley, MD, Christensen, Mads Græsbøll; id_orcid, Hansen, LK, Lauerberg, Hans, Christensen, MG, Plumbley, Mark D., Jensen, Søren Holdt, Jensen, SH, Laurberg, Hans, Christensen, Mads Græsbøll, Hansen, Lars Kai, Laurberg, H   +12 more
core   +1 more source

Fourier Uniqueness and Non-Uniqueness Pairs

Zurnal matematiceskoj fiziki, analiza, geometrii
Motivated by recent works by Radchenko and Viazovska and by Ramos and Sousa, we find sufficient conditions for a pair of discrete subsets of the real line to be a uniqueness or a non-uniqueness pair for the Fourier transform. These conditions are close to each other.
Kulikov, Aleksei, Nazarov, Fedor, Sodin, Mikhail   +2 more
openaire   +3 more sources

Reciprocal control of viral infection and phosphoinositide dynamics

FEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

FEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho, Shin Morioka, Junko Sasaki, Takehiko Sasaki   +3 more
wiley   +1 more source

Classical and weak solutions for semilinear parabolic equations with Preisach hysteresis [PDF]

Opuscula Mathematica, 2008
We consider the solvability of the semilinear parabolic differential equation \[\frac{\partial u}{\partial t}(x,t)- \Delta u(x,t) + c(x,t)u(x,t) = \mathcal{P}(u) + \gamma (x,t)\] in a cylinder \(D=\Omega \times (0,T)\), where \(\mathcal{P}\) is a ...
Mathias Jais
doaj  

Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?

FEBS Letters, EarlyView.
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes, Guilherme M. Azevedo, Amanda P. Barcellos, Diana Bahia   +3 more
wiley   +1 more source

Existence and Stability of Neutral Stochastic Impulsive and Delayed Integro-Differential System via Resolvent Operator

Fractal and Fractional
In this paper, we present the existence of a mild solution for a class of a neutral stochastic integro-differential system over a Hilbert space. Such systems are influenced by both multiplicative and fractional noise, alongside non-instantaneous impulses,
Hamza Khalil, Akbar Zada, Mohamed Rhaima, Ioan-Lucian Popa   +3 more
doaj   +1 more source

A case of monoidal uniqueness of algebraic models [PDF]

, 2015
We prove that there is at most one algebraic model for modules over the K(1)-local sphere at odd primes that retains some monoidal ...
Roitzheim, Constanze, Constanze Roitzheim   +1 more
core   +1 more source