Results 101 to 110 of about 4,397,166 (245)

Quasilinear problems with two parameters including superlinear and gradient terms

Electronic Journal of Differential Equations, 2014
In this article, we establish conditions for the existence of solutions for a quasilinear elliptic two-parameter problem with dependence on the gradient term in smooth bounded domains or in the whole space R^N.
Manuela C. Rezende, Carlos A. Santos
doaj  

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

FEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source

Entire Solutions of Painlevé V-Type Differential- Difference Equation

Axioms
This research focuses on the following equation: (g¯g−1)(gg̲−1)+B(z)g′(z)g(z)=R(z,g)=P(z,g)Q(z,g), where P(z,g) and Q(z,g) represent polynomials in g, possessing rational coefficients in z and lacking shared roots, B(z) is rational, and g¯≡g(z+1),g̲≡g(z ...
Changwen Peng, Zhijin Zhou, Huawei Huang
doaj   +1 more source

Diversity and complexity in neural organoids

FEBS Letters, EarlyView.
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley   +1 more source

On positive entire solutions of indefinite semilinear elliptic equations

, 2009
We establish that the elliptic equation Δu+K(x)up+μf(x)=0 in Rn has a continuum of positive entire solutions for small μ⩾0 under suitable conditions on K, p and f.
Bae, Soohyun, Soohyun Bae
core   +1 more source

Growth of entire solutions of algebraic differential equations

Electronic Journal of Differential Equations, 2012
In this article, by means of the normal family theory, we estimate the growth order of entire solutions of some algebraic differential equations and extend the result by Qi et al [14]. We also give some examples to show that our results occur in some
Wenjun Yuan, Yezhou Li, Jianming Lin
doaj  

On a question of Gundersen-Yang concerning entire solutions of binomial differential equations

Demonstratio Mathematica
The explicit forms of entire solutions of the binomial differential equationsa(z)f′f″−b(z)(f)2=c(z)e2d(z),a(z)ff′−b(z)(f″)2=c(z)e2d(z), $$a\left(z\right){f}^{\prime }{f}^{{\prime\prime}}-b\left(z\right){\left(f\right)}^{2}=c\left(z\right){e}^{2d\left(z ...
Long Jianren, Xia Mengting, Xiang Xuxu
doaj   +1 more source

Entire solutions of nonlinear differential-difference equations. [PDF]

Springerplus, 2016
Li C, Lü F, Xu J.
europepmc   +1 more source

Organizing the interface—Plasma membrane architecture and receptor dynamics in virus‐cell interactions

FEBS Letters, EarlyView.
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley   +1 more source

Forms of entire solutions of partial differential difference equations with constant coefficients [PDF]

The purpose of this article is to describe the transcendental entire solutions of quadratic trinomial partial differential equations (PDDEs) with constant coefficients.
Ding, Xi, Zheng, Xu Min, Zheng, Xiu Min Zheng, Ding, Xin   +3 more
core   +1 more source