Results 61 to 70 of about 36,100 (302)

Four-parameter bifurcation for a p-Laplacian system

open access: yesElectronic Journal of Differential Equations, 2001
We study a four-parameter bifurcation phenomenum arising in a system involving $p$-Laplacians: $$displaylines{ -Delta_p u = a phi_p(u)+ b phi_p(v) + f(a , phi_p (u), phi_p (v)) ,cr -Delta_p v = c phi_p(u) + d phi{p}(v)) + g(d , phi_p (u), phi_p (v)), }$$
Jacqueline Fleckinger   +2 more
doaj  

Initial boundary value problem for fractional p-Laplacian Kirchhoff type equations with logarithmic nonlinearity

open access: yesMathematical Biosciences and Engineering, 2021
In this paper, we study the initial boundary value problem for a class of fractional p-Laplacian Kirchhoff type diffusion equations with logarithmic nonlinearity.
Peng Shi   +3 more
doaj   +1 more source

Super‐Resolution Compatible DNA Labeling Technique Reveals Chromatin Mobility and Organization Changes During Differentiation

open access: yesAdvanced Science, EarlyView.
A novel chromatin‐labeling probe is developed to investigate chromatin mobility during differentiation. The silicon rhodamine–conjugated dCTP is efficiently delivered into iPSCs and NSCs using a synthetic transporter. Super‐resolution microscopy and single‐particle tracking show decreased chromatin mobility during differentiation.
Maruthi K. Pabba   +11 more
wiley   +1 more source

Numerical analysis of parabolic p-Laplacian: Approximation of trajectories [PDF]

open access: yes, 2000
The long time numerical approximation of the parabolic p-Laplacian problem with a time-independent forcing term and sufficiently smooth initial data is studied.
Ju, Ning
core  

Painting Peptides With Antimicrobial Potency Through Deep Reinforcement Learning

open access: yesAdvanced Science, EarlyView.
AMPainter is a powerful design model for ’painting’ the antimicrobial potency on any given peptide sequence, based on the strategy of virtual directed evolution and deep reinforcement learning. Abstract In the post‐antibiotic era, antimicrobial peptides (AMPs) are considered ideal drug candidates because of their lower likelihood of inducing resistance.
Ruihan Dong, Qiushi Cao, Chen Song
wiley   +1 more source

Uniqueness for degenerate elliptic sublinear problems in the absence of dead cores

open access: yesElectronic Journal of Differential Equations, 2004
In this work we study the problem $$ -mathop{ m div}(| abla u|^{p-2} abla u)=lambda f(u) $$ in the unit ball of $mathbb{R}^N$, with $u=0$ on the boundary, where $p>2$, and $lambda$ is a real parameter. We assume that the nonlinearity $f$ has a zero $
Jorge Garcia-Melian
doaj  

An Automated Lab‐On‐A‐Chip Approach for Pollen Tube Growth Manipulation in a Controlled Chemical Environment

open access: yesAdvanced Science, EarlyView.
Here, a microfluidic‐based robotic lab‐on‐a‐chip (LoC) device is presented for automated, continuous‐flow investigation and manipulation of single pollen tube growth under precisely controlled chemical gradients. This closed‐loop system streamlines data collection and analysis while enhancing experimental precision compared to manual methods ...
Jiawei Zhu   +10 more
wiley   +1 more source

Strongly nonlinear elliptic problem without growth condition

open access: yesElectronic Journal of Differential Equations, 2002
We study a boundary-value problem for the $p$-Laplacian with a nonlinear term. We assume only coercivity conditions on the potential and do not assume growth condition on the nonlinearity.
Aomar Anane, Omar Chakrone
doaj  

The fractional p-Laplacian on hyperbolic spaces

open access: yes, 2023
Abstract Note: Please see pdf for full abstract with equations. We present three equivalent definitions of the fractional p-Laplacian (−ΔHn)sp, 0 < s < 1, p > 1, with normalizing constants, on the hyperbolic spaces. The explicit values of the constants enable us to study the convergence of the fractional p-Laplacian to the p-Laplacian ...
Kim, Jongmyeong   +2 more
openaire   +2 more sources

Enhancing Spatial Transcriptomics via Spatially Constrained Matrix Decomposition with EDGES

open access: yesAdvanced Science, EarlyView.
Imaging‐based spatial transcriptomics technologies are currently limited by their restricted gene detection capacity and low measurement accuracy. Moreover, the insufficient integration of spatial context and single‐cell reference data poses a significant challenge for comprehensive data analysis.
Jinyue Zhao   +5 more
wiley   +1 more source

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