Results 71 to 80 of about 11,022 (263)

Existence of solutions for a nonlinear hyperbolic-parabolic equation in a non-cylinder domain

International Journal of Mathematics and Mathematical Sciences, 1996
In this paper, we study the existence of global weak solutions for the equationk2(x)u″+k1(x)u′+A(t)u+|u|ρu=f       (I)in the non-cylinder domain Q in Rn+1; k1 and k2 are bounded real functions, A(t) is the symmetric operatorA(t)=−∑i,j=1n∂∂xj(aij(x,t)∂∂xi)
Marcondes Rodrigues Clark
doaj   +1 more source

Pullback Attractors for a Nonautonomous Retarded Degenerate Parabolic Equation

Discrete Dynamics in Nature and Society, 2020
This paper is devoted to a nonautonomous retarded degenerate parabolic equation. We first show the existence and uniqueness of a weak solution for the equation by using the standard Galerkin method.
Fahe Miao, Hui Liu, Jie Xin
doaj   +1 more source

Loss of IGF‐1R impairs DNA‐PKcs recruitment to chromatin leading to defective end‐joining

Molecular Oncology, EarlyView.
IGF‐1R promotes radioresistance by facilitating DNA‐PKcs recruitment to chromatin, enabling non‐homologous end‐joining (NHEJ) repair of double‐strand breaks. Inhibition or loss of IGF‐1R disrupts this recruitment to damage sites, driving compensatory reliance on microhomology‐mediated end‐joining (MMEJ) repair.
Matthew O. Ellis, Jack V. Mills, Wojciech Niedzwiedz, Valentine M. Macaulay   +3 more
wiley   +1 more source

Existence of positive solutions to Kirchhoff type problems involving singular and critical nonlinearities

Electronic Journal of Differential Equations, 2018
In this study, we study a Kirchhoff type problem involving singular and critical nonlinearities. With aid of variational methods and concentration compactness principle, we prove that the problem admits a weak solution.
Chun-Yu Lei, Gao-Sheng Liu
doaj  

Raman‐based label‐free microscopic analysis of the pancreas in living zebrafish larvae

FEBS Open Bio, EarlyView.
Forward stimulated Raman scattering (F‐SRS) and epi coherent anti‐Stokes Raman scattering (E‐CARS) allow label‐free discrimination of distinct subcellular structures in the pancreas of living zebrafish larvae. Given the straightforward applicability, we anticipate broad implementation of Raman microscopy in other organs and across various biomedical ...
Noura Faraj, Eline M. F. de Lange, Klaas A. Sjollema, Ben N. G. Giepmans   +3 more
wiley   +1 more source

Existence of solutions for differential inclusions on closed moving constraints in Banach spaces

Electronic Journal of Differential Equations, 2009
In this paper, we prove the existence of solutions to a multivalued differential equation with moving constraints. We use a weak compactness type condition expressed in terms of a strong measure of noncompactness.
Adel Mahmoud Gomaa
doaj  

Existence of solutions for logarithmic Kirchhoff equation without compactness in $\mathbb{R}^3$

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we investigate the logarithmic Kirchhoff-type equation \begin{align*} -\left(a+b\int_{\mathbb R^3}|\nabla u|^2 \mathrm{d}x\right)\Delta u+V(x)u=|u|^{p-2}u\log |u|, \quad x\in\mathbb {R}^3, \end{align*} where $a,b>0$ are constants,
Min Li, Libo Wang, Lihong Bao
doaj   +1 more source

Weak compactness in locally convex spaces [PDF]

Transactions of the American Mathematical Society, 1973
The notion of weak compactness plays a central role in the theory of locally convex topological vector spaces. However, in the statement of many theorems, completeness of the space, or at least quasi-completeness of the space in the Mackey topology is an important assumption.
openaire   +1 more source

dUTPase is essential in zebrafish development and possesses several single‐nucleotide variants with pronounced structural and functional consequences

FEBS Open Bio, EarlyView.
dUTPases are involved in balancing the appropriate nucleotide pools. We showed that dUTPase is essential for normal development in zebrafish. The different zebrafish genomes contain several single‐nucleotide variations (SNPs) of the dut gene. One of the dUTPase variants displayed drastically lower protein stability and catalytic efficiency as compared ...
Viktória Perey‐Simon, Angéla Békesi, Latifa Kazzazy, Jázmin Mihály, Máté Varga, Beáta G. Vértessy, Kinga Nyíri   +6 more
wiley   +1 more source

Pullback attractors for 2D MHD equations with delays on unbounded domains

Boundary Value Problems
The aim of the paper is to consider the asymptotic dynamics of weak solutions for 2D MHD equations with delay terms on unbounded domains. First, we propose some appropriate assumptions of the delay terms and establish the existence and uniqueness of weak
Xiaoya Song
doaj   +1 more source