Results 111 to 120 of about 587,634 (306)

A comparison principle and the Lipschitz continuity for minimizers

open access: yes, 2005
We give some conditions that ensure the validity of a Comparison Principle for the Minimizers of integral functionals, without assuming the validity of the Euler-Lagrange equation.
MARICONDA, CARLO, TREU, GIULIA
core  

Behavior of the maximal solution of the Cauchy problem for some nonlinear pseudoparabolic equation as $|x|oinfty$

open access: yesElectronic Journal of Differential Equations, 2012
We prove a comparison principle for solutions of the Cauchy problem of the nonlinear pseudoparabolic equation $u_t=Delta u_t+ Deltavarphi(u) +h(t,u)$ with nonnegative bounded initial data.
Tatiana Kavitova
doaj  

Why human connection is the true metric of research success

open access: yesFEBS Open Bio, EarlyView.
Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan   +3 more
wiley   +1 more source

Application of the comparison principle to analysis of nonlinear systems

open access: yes, 1975
A comparison principle based on a Kamke theorem and Lipschitz conditions is presented along with its possible applications and modifications. It is shown that the comparison lemma can be used in the study of such areas as classical stability theory ...
Gunderson, R. W.
core  

A comparison principle for terminal value problems in ordinary differential equations

open access: yes, 1972
A comparison principle for a terminal value problem of an ordinary differential equation is formulated. Basic related topics such as the existence of maximal and minimal solutions of terminal value problems are investigated.
Thomas G. Hallam
core   +1 more source

YIPFα1A expression is regulated by multilayered molecular mechanisms

open access: yesFEBS Open Bio, EarlyView.
YIPFα1A, a five‐pass Golgi protein, is regulated at multiple layers. (1) Rare‐codon enrichment drives translation‐coupled mRNA decay. (2) A proximal 3′‐UTR element stabilizes mRNA. (3) A distal 3′‐UTR element included by alternate poly(A) site usage represses translation, which can be overridden by the proximal 3′‐UTR element.
Tokio Takaji   +2 more
wiley   +1 more source

p-harmonious functions with drift on graphs via games

open access: yesElectronic Journal of Differential Equations, 2011
In a connected finite graph $E$ with set of vertices $mathfrak{X}$, choose a nonempty subset, not equal to the whole set, $Ysubset mathfrak{X}$, and call it the boundary $Y=partialmathfrak{X}$.
Alexander P. Svirido
doaj  

Identifying transcription factors controlling the basal expression of human MRP4 highlights a substantial role for Sp1

open access: yesFEBS Open Bio, EarlyView.
The MRP4 transporter exports several drugs and signaling molecules. Here, we identified key promoter elements regulating basal MRP4 expression. Using reporter assays, we defined a conserved region with essential Sp1 and contributory Ets sites, which controlled basal MRP4 expression.
Debora Singer   +7 more
wiley   +1 more source

Existence and uniqueness for a dislocation model with short-range interactions and varying stress field

open access: yesElectronic Journal of Differential Equations, 2015
In this article, we consider a coupled singular parabolic system, describing the dynamics of dislocation densities in a bounded domain. The model takes into consideration the short-range interactions between dislocations, which causes the singularity ...
Hassan Ibrahim
doaj  

Refinement of amino‐acid conformation vs. difference density maps in time‐resolved serial femtosecond crystallography data analysis

open access: yesFEBS Open Bio, EarlyView.
The dFoCC pipeline starts with observed DED and resting‐state coordinates, which are then used to generate a library of triggered states. Correlation analysis of the calculated DED features of each candidate vs observed DED permits quantitative evaluation of candidate structural quality.
Meng Iao Fong   +3 more
wiley   +1 more source

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