Results 51 to 60 of about 8,578,478 (315)
Study on a class of Schrödinger elliptic system involving a nonlinear operator
This paper considers a class of Schrödinger elliptic system involving a nonlinear operator. Firstly, under the simple condition on and ', we prove the existence of the entire positive bounded radial solutions.
Guotao Wang +3 more
doaj +1 more source
We prove the existence and multiplicity of positive radial solutions to the nonlinear system { − Δ u i = λ K i ( | x | ) f i ( u j ) in Ω , d i ∂ u i ∂ n + c ˜ i ( u i ) u i = 0 on | x | = r 0 , u i ( x ) → 0 as | x | → ∞ , for a certain range of λ
D. Hai, R. Shivaji
semanticscholar +1 more source
Non-radial normalized solutions for a nonlinear Schrodinger equation
This article concerns the existence of multiple non-radial positive solutions of the L2-constrained problem $$\displaylines{-\Delta{u}-Q(\varepsilon x)|u|^{p-2}u=\lambda{u},\quad \text{in }\mathbb{R}^N, \\ \int_{\mathbb{R}^N}|u|^2dx=1,}$$ where \(Q(x)\)
Zhi-Juan Tong +2 more
doaj +1 more source
We prove uniqueness and asymptotic behavior of positive radial solutions to the p-Laplacian problem { − Δ p u = λ K ( | x | ) f ( u ) in | x | > r 0 , u = 0 on | x | = r 0 , u ( x ) → 0 as | x | → ∞ , where Ω = { x ∈ R n : | x | > r 0 > 0 } , n > p ,
K.-D. Chu, D. Hai, R. Shivaji
semanticscholar +1 more source
We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
wiley +1 more source
Investigating transcription factor dynamics in health and disease using FRAP
FRAP analysis of GFP‐tagged transcription factors reveals how molecular mobility and target engagement change in response to drug treatment. By combining live‐cell imaging, quantitative model fitting, and statistical analysis, this approach uncovers transcription factor dynamics linked to disease mechanisms, providing a powerful framework for ...
Kannan Govindaraj +3 more
wiley +1 more source
We deal with Dirichlet systems involving the mean curvature operator in Minkowski space M ( w ) = div ( ∇ w 1 − | ∇ w | 2 ) in a ball in R N . Using the fixed point index and the lower and upper solutions method, we first obtain the existence of positive
Daniela Gurban, P. Jebelean
semanticscholar +1 more source
Multiple positive radial solutions for Neumann elliptic systems with gradient dependence [PDF]
We provide new results on the existence, nonexistence, and multiplicity of nonnegative radial solutions for semilinear elliptic systems with Neumann boundary conditions on an annulus.
Filomena Cianciaruso +2 more
semanticscholar +1 more source
The Shewanella oneidensis Fic enzyme SoFic targets the switch‐I region of EF‐Tu for AMPylation
Fic enzymes mediate diverse post‐translational modifications across all domains of life, including AMPylation. Prokaryotic EF‐Tu can be AMPylated and deAMPylated by the conserved Fic enzyme SoFic. Structural and biochemical approaches were used to characterize the effect of AMPylation on EF‐Tu, SoFic's enzymatic activities, and the enzyme‐target ...
Svenja Runge +6 more
wiley +1 more source
Infinitely many positive solutions for a Schrödinger-Poisson system
We are interested in the existence of infinitely many positive non-radial solutions of a Schrödinger-Poisson system with a positive radial bounded external potential decaying at infinity. © 2011 Elsevier Ltd.
Vaira G., D'Avenia P., Pomponio A.
core +2 more sources

