Results 71 to 80 of about 13,731,074 (335)
Interaction extracellular vesicles (iEVs) are hybrid vesicles formed through host‐pathogen communication. They facilitate immune evasion, transfer pathogens' molecules, increase host cell uptake, and enhance virulence. This Perspective article illustrates the multifunctional roles of iEVs and highlights their emerging relevance in infection dynamics ...
Bruna Sabatke+2 more
wiley +1 more source
Steady-state solutions for Schrodinger equations in photonic lattice
In this article, we study a nonlinear Schrodinger equation arising in optics. Firstly we prove the existence of multiple solutions of this equation. Secondly, we consider a nonlinear Schrodinger system which is intimately related to the Schrodinger ...
Wen-Long Li
doaj
We provide the existence of a positive solution for the quasilinear elliptic equation −div(a(x,|∇u|)∇u)=f(x,u,∇u) in Ω under the Dirichlet boundary condition.
Mieko Tanaka
semanticscholar +1 more source
B cells sense external mechanical forces and convert them into biochemical signals through mechanotransduction. Understanding how malignant B cells respond to physical stimuli represents a groundbreaking area of research. This review examines the key mechano‐related molecules and pathways in B lymphocytes, highlights the most relevant techniques to ...
Marta Sampietro+2 more
wiley +1 more source
Existence and uniqueness of positive solution to singular fractional differential equations
In this paper, we discuss the existence and uniqueness of a positive solution to the following singular fractional differential equation with nonlocal boundary value conditions: {D0+αu(t)+f(t,u(t))=0 ...
Yongqing Wang, Lishan Liu, Yonghong Wu
semanticscholar +1 more source
Positive solutions for a class of elliptic equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuying Zhou, Yisheng Huang
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
A Sub-Supersolution Approach for Robin Boundary Value Problems with Full Gradient Dependence
The paper investigates a nonlinear elliptic problem with a Robin boundary condition, which exhibits a convection term with full dependence on the solution and its gradient. A sub- supersolution approach is developed for this type of problems.
Dumitru Motreanu+2 more
doaj +1 more source
Unique positive solution for a fractional boundary value problem
In this work we consider the unique positive solution for the following fractional boundary value problem $\left\{ \begin{gathered} D_{0 + }^\alpha u(t) = - f(t,u(t)),t \in [0,1], \hfill \\ u(0) = u'(0) = u'(1) = 0. \hfill \\ \end{gathered} \right. $
Keyu Zhang, Jiafa Xu
semanticscholar +1 more source
New entire positive solution for the nonlinear Schrödinger equation: Coexistence of fronts and bumps [PDF]
In this paper we construct new kinds of positive solutions of $$ \Delta u-u+u^{p}=0\quad{\rm on}\ {\Bbb R}^2 $$ when $p 2$. These solutions have the following asymptotic behavior $$ u(x,z)\sim\omega(x-f(z))+\sum_{i=1}^{\infty}\omega_0((x, z)-\xi_i ...
S. Santra, Juncheng Wei
semanticscholar +1 more source