Results 41 to 50 of about 91,659 (256)
Multiple solutions for semilinear elliptic equations with sign-changing potential and nonlinearity
Electronic Journal of Differential Equations, 2013 In this article, we study the multiplicity of solutions for the semilinear elliptic equation $$\displaylines{ -\Delta u+a(x)u=f(x, u), \quad x\in \Omega,\cr u=0, \quad x \in \partial\Omega, }$$ where $ \Omega\subset \mathbb{R}^N$ $(N ...
Dongdong Qin, Xianhua Tang, Jiang Zhang
doaj
Journal of Inequalities and Applications, 2021 The purpose of this paper is to study the existence of sign-changing solution to the following fourth-order equation: 0.1 Δ 2 u − ( a + b ∫ R N | ∇ u | 2 d x ) Δ u + V ( x ) u = K ( x ) f ( u ) in R N , $$ \Delta ^{2}u- \biggl(a+ b \int _{\mathbb{R}^{N}}
Wen Guan, Hua-Bo Zhang
doaj +1 more source
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
Critical quasilinear Schrodinger equation with sign-changing potential
Electronic Journal of Differential Equations, 2016 We study the existence of nontrivial solutions for a class of quasilinear Schrodinger equations in R^N with critical nonlinearity, where the potential is allowed to change signs.
Li-Li Wang, Zhi-Qing Han
doaj
Advances in Nonlinear Analysis, 2015 In this paper we are concerned with the existence of infinitely-many solutions for fractional Hamiltonian systems of the form tD∞α(-∞Dtαu(t))+L(t)u(t)=∇W(t,u(t))${\,}_tD^{\alpha }_{\infty }(_{-\infty }D^{\alpha }_{t}u(t))+L(t)u(t)=\nabla W(t,u(t ...
Zhang Ziheng, Yuan Rong
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
Journal of Hebei University of Science and Technology, 2019 In order to expound the influence of sign-changing potential on logarithmic nonlinearity and Hatree nonlinearity. By the variational method, a weak solution to the problem is a critical point of the energy functional. Then, by the logarithmic inequality,
Jianwei HAO, Yongyan HUANG
doaj +1 more source
Boundary Value Problems, 2023 In this paper, by applying a nonlinear alternative principle of Leray–Schauder and Guo–Krasnosel’skii fixed point theorem on compression and expansion of cones, together with truncation technique, we study the existence of multiplicity noncollision ...
Shengjun Li, Fang Zhang
doaj +1 more source
Hyperosmotic stress induces PARP1‐mediated HPF1‐dependent mono(ADP‐ribosyl)ation
FEBS Letters, EarlyView.Sorbitol‐induced hyperosmotic stress rapidly induces reversible mono(ADP‐ribosyl)ation (MARylation) on PARP1 without the signs of genotoxic signaling. We show that PARP1 autoMARylation is HPF1 dependent and forms hydroxylamine‐resistant O‐glycosidic linkages.
Anna Georgina Kopasz +11 more
wiley +1 more source
Critical quasilinear Schrödinger equation with sign-changing potential
Electronic Journal of Differential Equations, 2016 Summary: We study the existence of nontrivial solutions for a class of quasilinear Schrödinger equations in \(\mathbb R^N\) with critical nonlinearity, where the potential is allowed to change signs. The quasilinear equations are reduced to semilinear equations by using a change of variable.
Li-Li Wang, Zhi-Qing Han
openaire +2 more sources