Results 111 to 120 of about 764,891 (332)
A Universal Biomimetic Approach for Making Artificial Antigen‐Presenting Cells for T Cell Activation
This study shows a biomimetic silica microcapsule (SMC) fabrication method under mild conditions for making artificial antigen‐presenting cells (aAPCs). Inspired by marine biomineralization, peptide‐mediated biosilicification enables silica shell formation on emulsion templates. The resulting SMCs possess a core–shell structure, controlled fluorescence
Fei Hou+5 more
wiley +1 more source
Superlinear nonlocal fractional problems with infinitely many solutions
In this paper we study the existence of infinitely many weak solutions for equations driven by nonlocal integrodifferential operators with homogeneous Dirichlet boundary conditions. A model for these operators is given by the fractional Laplacian where s ∈ (0, 1) is fixed.We consider different superlinear growth assumptions on the nonlinearity ...
BINLIN Z+2 more
openaire +3 more sources
Infinitely many radially symmetric solutions to a superlinear Dirichlet problem in a ball [PDF]
Alfonso Castro, Alexandra Kurepa
openalex +1 more source
From a database of 170 pentagonal 2D materials, 4 candidates exhibiting altermagnetic ordering are screened. Furthermore, the spin‐splitting and unconventional boundary states in the pentagonal 2D altermagnetic monolayer MnS2 are investigated. A MnS2‐based altermagnetic tunneling junction is designed and, through ab initio quantum transport simulations,
Jianhua Wang+8 more
wiley +1 more source
Construction of diagonal quintic threefolds with infinitely many rational points [PDF]
In this note we present a construction of an infinite family of diagonal quintic threefolds defined over $\Q$ each containing infinitely many rational points. As an application, we prove that there are infinitely many quadruples $B=(B_{0}, B_{1}, B_{2}, B_{3})$ of co-prime integers such that for a suitable chosen integer $b$ (depending on $B$), the ...
arxiv
Conformally Perforated Shellular Metamaterials with Tunable Thermomechanical and Acoustic Properties
This study introduces Conformally Perforated Shellular Metamaterials (CPSMs), which overcome TPMS design limitations by mapping 2D cellular layouts onto 3D surfaces. CPSMs exhibit enhanced elastic stiffness, thermal conductivity, and acoustic performance compared to intact P‐type shellulars, demonstrating their potential as multifunctional ...
Benyamin Shahryari+8 more
wiley +1 more source
Solutions to euclidean gravity for infinitely many instantons
Abstract Self-dual solutions to euclidean Einstein equations are obtained by integrating over various configurations of an infinite number of Hawking-Gibbons multi-instantons. The resulting metrics are all stationary and of Bianchi type II (euclidean version). They may be previously unknown solutions. In the weak field approximation one finds related
openaire +2 more sources
Infinitely many solutions for Schrödinger–Kirchhoff-type equations involving indefinite potential
In this paper, we study the multiplicity of solutions for the following Schrödinger–Kirchhoff-type equation \[ \begin{cases}-\left(a+b\int_{\mathbb{R}^N}|\nabla u|^2dx\right)\triangle u+V(x)u=f(x,u)+g(x,u), \quad x\in \mathbb{R}^N,\\ u\in H^1(\mathbb{R}^
Qingye Zhang, Bin Xu
doaj +1 more source
Internally catalyzed siloxane dynamic chemistry is demonstrated resulting from amides covalently linked through alkyl chains to siloxanes. The alkyl length in the siloxane‐containing monomer tunes the network cross‐link density. Siloxane exchange dynamics are faster with increasing cross‐link density, because associative exchange is second order in ...
Nathan S. Purwanto+5 more
wiley +1 more source
An infinite collection of quartic polynomials whose products of consecutive values are not perfect squares [PDF]
Using an elementary identity, we prove that for infinitely many polynomials $P(x)\in \mathbb{Z}[X]$ of fourth degree, the equation $\prod\limits_{k=1}^{n}P(k)=y^2$ has finitely many solutions in $\mathbb{Z}$. We also give an example of a quartic polynomial for which the product of it's first consecutive values is infinitely often a perfect square.
arxiv