Bioprinted Stiffness‑Tunable Pancreatic Microniches to Decode Early Tumor Initiation Mechanisms
Stiffness‐tunable GelMA microniches generated by microvalve bioprinting preserve wild‐type acinar identity while revealing a nonlinear, Kras‐dependent response to matrix mechanics. Intermediate stiffness promotes acinar‐to‐ductal metaplasia and proliferation, defining a permissive mechanical window.
Aurelien Mazet +11 more
wiley +1 more source
On critical semilinear elliptic systems
The goal of the present paper is to study the existence of solutions of the semilinear elliptic system \[ \begin{gathered} -\Delta u+ u= |v|^{q-1} v+ g(x,v)\quad\text{in }\mathbb{R}^n,\\ -\Delta v+ v= |u|^{p-1} u+ f(x,u)\quad\text{in }\mathbb{R}^N,\\ u(x)\to 0\text{ and }v(x)\to 0\quad \text{as }|x|\to \infty,\end{gathered}\tag{1} \] where \({1\over p ...
openaire +3 more sources
Introducing elliptic, an R Package for Elliptic and Modular Functions [PDF]
This paper introduces the elliptic package of R routines, for numerical calculation of elliptic and related functions. Elliptic functions furnish interesting and instructive examples of many ideas of complex analysis, and the package illustrates these ...
Robin K. S. Hankin
core
A Lower Bound for the Rational LS-category of a Coformal Elliptic Space [PDF]
We give a lower bound for the rational LS-category of certain spaces, including the coformal elliptic ones, in terms of the dimension of its total rational cohomology.
Yamaguchi, Toshihiro
core +1 more source
Ion‐Reconfigurable “N”‐Shaped Antiambipolar Behavior in Organic Electrochemical Transistors
A unique N‐shaped negative differential transconductance (NDT) characteristics is demonstrated in single‐polymer organic electrochemical transistors through a sequential doping–redox–doping process driven by iodide ions. This redox‐driven mechanism enables low‐voltage, ion‐controlled reconfigurability and tunable current modulation, allowing seamless ...
Debdatta Panigrahi +11 more
wiley +1 more source
Existence results for Hamiltonian elliptic systems with nonlinear boundary conditions
We prove the existence of nontrivial solutions to the system $$ Delta u = u, quad Delta v = v, $$ on a bounded set of $R^N$, with nonlinear coupling at the boundary given by $$partial u/partialeta = H_v,quad partial v/partialeta = H_u,.$$ The proof is ...
Julian Fernandez Bonder +2 more
doaj
What is the complexity of elliptic systems?
This paper deals with the optimal solution of the Petrovsky-elliptic system lu = f, where l is of homogeneous order t and f (x) ∈ H (Ω).Of particular interest is the strength of finite element information (FEI) of degree k, as well as the quality of the finite element method (FEM) using this information.
openaire +3 more sources
Spectral properties of non-local uniformly-elliptic operators [PDF]
In this paper we consider the spectral properties of a class of non-local uniformly elliptic operators, which arise from the study of non-local uniformly elliptic partial differential equations. Such equations arise naturally in the study of a variety of
Niall Dodds +3 more
core
On the uniqueness of solutions for nonlinear elliptic-parabolic equations [PDF]
We prove existence, boundedness and uniqueness of solutions to Cauchy-Dirichlet problems for elliptic-parabolic systems, where the specific coupling is such that the solution of the elliptic equation forms a drift term in the parabolic equation.
Gajewski, Herbert, Skrypnik, Igor V.
core +1 more source
Generating Unconventional Spin‐Orbit Torques With Patterned Phase Gradients in Tungsten Thin Films
ABSTRACT A key aim in spintronics is to achieve current‐induced magnetization switching via spin‐orbit torques without external magnetic fields. For this, the focus of recent work has been on introducing controlled lateral gradients across ferromagnet/heavy‐metal devices, giving variations in thickness, composition, or interface quality.
Lauren J. Riddiford +9 more
wiley +1 more source

