Results 81 to 90 of about 3,381,515 (303)
Growth of solutions to higher-order linear differential equations with entire coefficients
Electronic Journal of Differential Equations, 2014 In this article, we discuss the order and hyper-order of the linear differential equation $$ f^{(k) }+\sum_{j=1}^{k-1} (B_je^{b_jz}+D_je^{d_jz}) f^{(j) }+( A_1e^{a_1z}+A_2e^{a_2z}) f=0, $$ where $A_j(z), B_j(z), D_j(z)$ are entire functions ...
Habib Habib, Benharrat Belaidi
doaj
Revision of the classical nucleation theory for supersaturated solutions
, 2015 During the processes of nucleation and growth of a precipitate cluster from a supersaturated solution, the diffusion flux between the cluster and the solution changes the solute concentration near the cluster-solution interface from its average bulk ...
Borisenko, Alexander
core +1 more source
Entire solutions of quasilinear elliptic equations
Journal of Mathematical Analysis and Applications, 2009 AbstractWe study entire solutions of non-homogeneous quasilinear elliptic equations, with Eqs. (1) and (2) below being typical. A particular special case of interest is the following: Let u be an entire distribution solution of the equation Δpu=|u|q−1u, where p>1. If q>p−1 then u≡0.
openaire +2 more sources
From omics to AI—mapping the pathogenic pathways in type 2 diabetes
FEBS Letters, EarlyView.Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan +2 more
wiley +1 more source
The Keller–Osserman-type conditions for the study of a semilinear elliptic system
Boundary Value Problems, 2019 We study the following system of equations: 0.1 {Δu1=p1(|x|)f1(u1,u2)in RN,Δu2=p2(|x|)f2(u1,u2)in RN. $$ \textstyle\begin{cases} \Delta u_{1}=p_{1} ( \vert x \vert ) f_{1} ( u_{1},u_{2} ) &\text{in }\mathbb{R}^{N}, \\ \Delta u_{2}=p_{2} ( \vert x \vert )
Dragos-Patru Covei
doaj +1 more source
, 2019 We give pointwise gradient bounds for solutions of (possibly non-uniformly) elliptic partial differential equations in the entire Euclidean space. The operator taken into account is very general and comprises also the singular and degenerate nonlinear ...
Cavaterra, Cecilia +4 more
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ERBIN limits epithelial cell plasticity via suppression of TGF‐β signaling
FEBS Letters, EarlyView.In breast and lung cancer patients, low ERBIN expression correlates with poor clinical outcomes. Here, we show that ERBIN inhibits TGF‐β‐induced epithelial‐to‐mesenchymal transition in NMuMG breast and A549 lung adenocarcinoma cell lines. ERBIN suppresses TGF‐β/SMAD signaling and reduces TGF‐β‐induced ERK phosphorylation.
Chao Li +3 more
wiley +1 more source
Entire large solutions for semilinear elliptic equations
Journal of Differential Equations, 2012 Journal of Differential Equations 2012, 28 ...
Olivier Goubet +3 more
openaire +3 more sources
FEBS Letters, EarlyView.Knowing how proteases recognise preferred substrates facilitates matching proteases to applications. The S1′ pocket of protease EA1 directs cleavage to the N‐terminal side of hydrophobic residues, particularly leucine. The S1′ pocket of thermolysin differs from EA's at only one position (leucine in place of phenylalanine), which decreases cleavage ...
Grant R. Broomfield +3 more
wiley +1 more source
Strong Bounded Solutions For Nonlinear Parabolic Systems [PDF]
, 2014 In this article we study the existence of strong bounded solutions for nonlinear parabolic systems on a domain which is bounded in space and unbounded in time (namely the entire real line). We use nonlinear iteration arguments combined with some a priori
Mavinga, Nsoki, Nkashama, M. N.
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