Results 81 to 90 of about 17,377,748 (367)

Existence of a positive solution for quasilinear elliptic equations with nonlinearity including the gradient

open access: yes, 2013
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

Interaction vesicles as emerging mediators of host‐pathogen molecular crosstalk and their implications for infection dynamics

open access: yesFEBS Letters, EarlyView.
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

Sufficient conditions for the existence of non-oscillatory solutions to first-order differential equations with multiple advanced arguments

open access: yesElectronic Journal of Differential Equations, 2018
This article concerns the existence of non-oscillatory solutions to the equation $$ x'(t)=\sum_{k=1}^m a_k(t) x(h_k(t)), $$ where $a_k\geq 0$ and $h_k(t)\geq t$. We generalize existing results and then give an answer to the open question stated in
Julio G. Dix
doaj  

Loop Type Subcontinua of Positive Solutions for Indefinite Concave-Convex Problems

open access: yesAdvanced Nonlinear Studies, 2019
We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neumann boundary conditions.
Kaufmann Uriel   +2 more
doaj   +1 more source

Existence and uniqueness of positive solution to singular fractional differential equations

open access: yesBoundary Value Problems, 2012
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

Autophagy in cancer and protein conformational disorders

open access: yesFEBS Letters, EarlyView.
Autophagy plays a crucial role in numerous biological processes, including protein and organelle quality control, development, immunity, and metabolism. Hence, dysregulation or mutations in autophagy‐related genes have been implicated in a wide range of human diseases.
Sergio Attanasio
wiley   +1 more source

Global Components of Positive Bounded Variation Solutions of a One-Dimensional Indefinite Quasilinear Neumann Problem

open access: yesAdvanced Nonlinear Studies, 2019
This paper investigates the topological structure of the set of the positive solutions of the one-dimensional quasilinear indefinite Neumann ...
López-Gómez Julian, Omari Pierpaolo
doaj   +1 more source

Unique positive solution for a fractional boundary value problem

open access: yes, 2013
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]

open access: yes, 2010
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

B cell mechanobiology in health and disease: emerging techniques and insights into therapeutic responses

open access: yesFEBS Letters, EarlyView.
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

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