Results 101 to 110 of about 1,228,906 (333)
Characterization of circuits supporting polynomial systems with the maximal number of positive solutions [PDF]
A polynomial system with $n$ equations in $n$ variables supported on a set $\mathcal{W}\subset\mathbb{R}^n$ of $n+2$ points has at most $n+1$ non-degenerate positive solutions. Moreover, if this bound is reached, then $\mathcal{W}$ is minimally affinely dependent, in other words, it is a circuit in $\mathbb{R}^n$.
arxiv
Most MmpLs transport lipids and glycolipids of the complex mycomembrane of mycobacteria. This study shows that MmpL10 from Mycobacterium smegmatis, the transporter of the trehalose polyphosphate precursor, harbors a coiled‐coil‐like extension. Biochemical and electron microscopy studies demonstrate that the coiled‐coil enables MmpL10 to trimerize.
Julie Couston+7 more
wiley +1 more source
Two positive solutions for second-order functional and ordinary boundary-value problems
In this paper we use a fixed point theorem due to Avery and Henderson to prove, under appropriate conditions, the existence of at least two positive solutions for a second-order functional and ordinary boundary-value problem.
Kyriakos G. Mavridis+1 more
doaj
On a property of positive integer solution of equation $\sum_{i=1}^k r_i=n$ [PDF]
Karel Čulík
openalex +1 more source
Qualitative analysis for an elliptic system in the punctured space [PDF]
In this paper, we investigate the qualitative properties of positive solutions for the following two-coupled elliptic system in the punctured space: $$ \begin{cases} -\Delta u =\mu_1 u^{2q+1} + \beta u^q v^{q+1} \\ -\Delta v =\mu_2 v^{2q+1} + \beta v^q u^{q+1} \end{cases} \textmd{in} ~\mathbb{R}^n \backslash \{0\}, $$ where $\mu_1, \mu_2$ and $\beta ...
arxiv
Positive solutions of integrodifferential equations [PDF]
Integrodifferential equations of the forms urn:x-wiley:20903332:media:ista345783:ista345783-math-0001 are considered, where K ∈ C([0, ∞), [0, ∞)), p ∈ C([0, ∞), [0, ∞)) and q ∈ C((−∞, ∞), [0, ∞)). Necessary conditions and also sufficient conditions for the existence of positive solutions are established.
openaire +2 more sources
Evolutionary interplay between viruses and R‐loops
Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi+4 more
wiley +1 more source
Positive solutions and global bifurcation of strongly coupled elliptic systems
In this article, we study the existence of positive solutions for the coupled elliptic system egin{gather*} -Delta u= lambda (f(u, v)+ h_{1}(x) ) quad ext{in }Omega, \ -Delta v= lambda (g(u, v)+ h_{2}(x))quad ext{in }Omega, \ u =v=0 quad ext{on ...
Jagmohan Tyagi
doaj
Sur les matrices non négatives et les solutions positives de certains systèmes linéaires [PDF]
Potron
openalex +1 more source
The number of circulating tumor cells obtained from prostate cancer patients was increased approximately 5‐fold compared to regular CellSearch when processing 2 mL diagnostic leukapheresis material aliquots and increased by 44‐fold when processing 20 mL DLA aliquots using the flow enrichment target capture Halbach‐array.
Michiel Stevens+8 more
wiley +1 more source