Results 111 to 120 of about 5,620,148 (306)

A comparison principle and the Lipschitz continuity for minimizers

, 2005
We give some conditions that ensure the validity of a Comparison Principle for the Minimizers of integral functionals, without assuming the validity of the Euler-Lagrange equation.
MARICONDA, CARLO, TREU, GIULIA
core  

A comparison principle for stochastic integro-differential equations

, 2014
. A comparison principle for stochastic integro- differ-ential equations driven by Lévy processes is proved. This result is obtained via an extension of an Ito ̂ formula from [11] for the square of the norm of the positive part of L2−valued, continuous ...
Istvan Gyöngy, Dareiotis, K, Gyöngy, I, Konstantinos Dareiotis   +3 more
core   +1 more source

Attitudes of cancer patients toward ctDNA‐based liquid biopsy for follow‐up

Molecular Oncology, EarlyView.
This mixed‐methods study explored cancer patients' experiences, knowledge, and preferences regarding ctDNA‐based liquid biopsy for follow‐up. Awareness of ctDNA was low and recall of previous liquid biopsy was imperfect, yet acceptance was high.
Siddharth Chhajlani, Laura Mariën, Caro De Weerdt, Sanne Wouters, Laure‐Anne Teuwen, Hans Prenen, Katleen Janssens, Timon Vandamme   +7 more
wiley   +1 more source

On the behavior of solutions of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorptions with variable densities

Қарағанды университетінің хабаршысы. Математика сериясы
In this paper, the problem of a doubly nonlinear degenerate parabolic system with nonlinear sources and absorption terms not located in a homogeneous medium was considered. It obeys zero Dirichlet boundary conditions in a smooth bounded domain.
M.M. Aripov, O.X. Atabaev, A.M. AL-Marashi   +2 more
doaj   +1 more source

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

Behavior of the maximal solution of the Cauchy problem for some nonlinear pseudoparabolic equation as $|x|oinfty$

Electronic Journal of Differential Equations, 2012
We prove a comparison principle for solutions of the Cauchy problem of the nonlinear pseudoparabolic equation $u_t=Delta u_t+ Deltavarphi(u) +h(t,u)$ with nonnegative bounded initial data.
Tatiana Kavitova
doaj  

Gradient estimates and comparison principle for some nonlinear elliptic equations

, 2015
We consider a class of Dirichlet boundary problems for nonlinear elliptic equations with a first order term. We show how the summability of the gradient of a solution increases when the summability of the datum increases.
R. Di Nardo, M. F. Betta, A. Perrotta, MERCALDO, ANNA, Perrotta, A., di Nardo, R., Mercaldo, A., BETTA, MARIA FRANCESCA   +7 more
core   +1 more source

Versatile vector tools for efficient protein screening across multiple expression systems

FEBS Open Bio, EarlyView.
A unified vector toolkit enables rapid protein expression screening across E. coli, insect, and mammalian cells. A single primer pair amplifies the target gene, which is inserted into any vector via a standardized interface. This streamlined workflow eliminates repeated cloning steps, accelerating the identification of optimal expression conditions for
Zhimin Zhu, Yaqing Liu, Lei Qin, Feng Yu, Qisheng Wang, Yahui Liu   +5 more
wiley   +1 more source

UiO‐66 metal–organic frameworks in biomedicine: From structural tunability to bioimaging, photodiagnostics, and photodynamic cancer therapy

FEBS Open Bio, EarlyView.
UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová, Grigorii Rakhalskii, Miroslav Almáši   +2 more
wiley   +1 more source

p-harmonious functions with drift on graphs via games

Electronic Journal of Differential Equations, 2011
In a connected finite graph $E$ with set of vertices $mathfrak{X}$, choose a nonempty subset, not equal to the whole set, $Ysubset mathfrak{X}$, and call it the boundary $Y=partialmathfrak{X}$.
Alexander P. Svirido
doaj