Results 91 to 100 of about 16,160,736 (224)
Bifurcations for semilinear elliptic equations with convex nonlinearity
Electronic Journal of Differential Equations, 1999 We investigate the exact number of positive solutions of the semilinear Dirichlet boundary value problem $Delta u+f(u) = 0$ on a ball in ${mathbb R}^n$ where $f$ is a strictly convex $C^2$ function on $[0,infty)$. For the one-dimensional case we classify
J. Karatson, Peter L. Simon
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Advanced Materials Technologies, EarlyView.A closed U‐shaped microfluidic platform symmetrically embeds a single, size‐controlled HT29 colorectal cancer spheroid within a GFP‐HUVEC‐laden fibrin matrix. HT29 spheroids are associated with hyper‐branched endothelial network remodeling, while vascularized co‐culture is accompanied by anisotropic protrusive growth and EMT‐like marker changes in the ...
G. Cretti +4 more
wiley +1 more source
Advanced Materials Technologies, EarlyView.A liquid metal‐based strain‐sensing architecture to measure the deformation of a circular diaphragm against obstructed surfaces is formulated using finite element modeling and confocal imaging to establish the mechanical framework and is utilized to control diaphragm‐induced confinement on a bead array, as validated by biomolecular loading level ...
Abdullah‐Bin Siddique +4 more
wiley +1 more source
Advanced Materials Technologies, EarlyView.This review summarizes moisture‐adaptive strategies that enable triboelectric nanogenerators (TENGs) to operate across diverse moisture conditions. It examines moisture‐management methods, including exclusion, directional transport, removal, and utilization, with charge‐regulation approaches based on interfacial, dielectric, and structural engineering.
Junzhe Gan +4 more
wiley +1 more source
Journal of Inequalities and ApplicationsIn this study, Levinson-type inequalities for the class of n-convex ( n ≥ 3 $n \geq 3$ ) functions are generalized using new Green functions and the Hermite interpolating polynomial involving two types of data points.
Awais Rasheed +3 more
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Advanced Optical Materials, EarlyView.Nearly hyperuniform disordered photonic slabs guide light along prescribed freeform pathways without relying on lattice symmetry. A pathway‐first design embeds curved channels within a photonic bandgap hyperuniform network, maintaining high transmission through freeform bends.
Timothy Amoah +8 more
wiley +1 more source
Advanced Optical Materials, EarlyView.A maskless, SLM‐driven approach enables the deterministic inscription of arbitrary topographical features in azopolymer films by mapping complex vectorial light fields onto local viscoplastic stress. This platform allows for the rapid generation and dynamic erasure of high‐aspect‐ratio micro‐spikes, offering a versatile tool for reconfigurable flat ...
Jonas Strobelt +3 more
wiley +1 more source
New estimates on generalized Hermite–Hadamard–Mercer-type inequalities
Boundary Value ProblemsThe concept of a convex function plays a crucial role in fields of mathematical analysis and inequality theory. The importance of convex functions is exemplified by Mercer’s inequality.
Çetin Yıldız +4 more
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Visible‐Blind Near‐Infrared Organic Vision Sensors for Imaging in Adverse Environmental Conditions
Advanced Optical Materials, EarlyView.This work presents high‐performance visible‐blind NIR OPDs enabled by a multilayer optical modulation layer. The devices achieve strong visible‐light suppression and enhanced NIR sensitivity, enabling robust imaging in foggy or low‐light environments.
Baozhong Deng +9 more
wiley +1 more source
On the refinements of Jensen Mercer's inequality
Journal of Numerical Analysis and Approximation Theory, 2012 In this paper we give refinements of Jensen-Mercer's inequality and its generalizations and give applications for means. We prove \(n\)-exponential convexity of the functions constructed from these refinements. At the end we discuss some examples.
M. Adil Khan, Asif R. Khan, J. Pečarić
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