Results 71 to 80 of about 177,533 (329)

Rolling and Impacting Caustic Drops on Super Liquid‐Repellent Surfaces: In Situ Force and Energy Monitoring of Surface Degradation

Advanced Functional Materials, EarlyView.
The use of continuous drop‐based force and energy probing methods is introduced to evaluate in situ chemical degradation of super liquid‐repellent surfaces by caustic liquids. By tracking the velocity of rolling drops and energy dissipation of impacting drops, degradation dynamics are resolved under high spatio‐temporal precision. Using this technique,
Parham Koochak, Kai Liu, William S. Y. Wong   +2 more
wiley   +1 more source

Sobolev Gradients in Uniformly Convex Spaces

Rocky Mountain Journal of Mathematics, 2009
Let \(H^{1,p}[0,1]\) be the Sobolev space with the norm \[ \| f\|= \Biggl(\int^1_0 |f|^p+ |f'|^p\Biggr)^{{1\over p}},\;f\in H^{1,p}[0,1],\;p> 2. \] One of the main results of this article is the proof that the dual s pace \((H^{1,q}[0,1])^*\) of the space \(H^{1,q}[0,1]\), \(q> 2\), is isomorphic to the space \(H^{1,p}[0,1]\), where \({1\over q}+{1 ...
openaire   +3 more sources

Overcoming Debye Length Limitations in Electrolyte‐Gated Transistor Biosensors Using Nanoscale‐Grooved Oxide Semiconductors Fabricated by Thermal Nanoimprint Lithography

Advanced Functional Materials, EarlyView.
Nanoscale‐grooved indium gallium oxide (IGO) semiconductors, patterned via thermal nanoimprint lithography (NIL) using CD/DVD templates, are integrated into electrolyte‐gated transistor biosensors to overcome Debye length limitations. Precisely engineered concave–convex nanostructures modulate local electrostatic potentials, extend the effective Debye ...
Jong Yu Song, Gyeongmin Lee, Dong Hyung Kim, Woo Lee, Eun‐Ah You, Young‐Geun Ha   +5 more
wiley   +1 more source

Mann-Type Extragradient Methods for General Systems of Variational Inequalities with Multivalued Variational Inclusion Constraints in Banach Spaces

Abstract and Applied Analysis, 2013
We introduce Mann-type extragradient methods for a general system of variational inequalities with solutions of a multivalued variational inclusion and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Lu-Chuan Ceng, Abdul Latif, Saleh A. Al-Mezel   +2 more
doaj   +1 more source

Programmable In‐Situ Interactions Between Resins and Photopolymerized Structures for Seamlessly Integrated Optical Manufacturing of Microlenses

Advanced Functional Materials, EarlyView.
This study presents a dynamic interaction between liquid resins and photopolymerized structures enabled by an in situ light‐writing setup. By controlling a three‐phase interface through localized photopolymerization, which provides physical confinement for the remaining uncured resin regions, the approach establishes a programmable pathway that ...
Kibeom Kim, Sangmin Oh, Kahyun Hur, Hyesung Cho   +3 more
wiley   +1 more source

On Fixed Point Property under Lipschitz and Uniform Embeddings

Journal of Function Spaces, 2018
We first present a generalization of ω⁎-Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has ...
Jichao Zhang, Lingxin Bao, Lili Su
doaj   +1 more source

Hermite-Hadamard type inequalities for uniformly convex functions with respect to geodesic in Hadamard space [PDF]

, 2023
Hasan Barsam, Yamin Sayyari, Alireza Sattarzadeh   +2 more
openalex   +1 more source

Banach Spaces Which Are Dual tok-Uniformly Convex Spaces

Journal of Mathematical Analysis and Applications, 1997
The authors find a characterization of the property dual to \(k\)-uniform convexity and call it \(k\)-uniform smoothness. A slight modification of a modulus defined by \textit{V. D. Mil'man} [Russian Math. Surveys 26 (1971), No. 6, 79-163 (1972; Zbl 0238.46012); translation from Usp. Mat. Nauk 26, No.
MALUTA, ELISABETTA, PRUS S.
openaire   +2 more sources

Novel Functional Materials via 3D Printing by Vat Photopolymerization

Advanced Functional Materials, EarlyView.
This Perspective systematically analyzes strategies for incorporating functionalities into 3D‐printed materials via Vat Photopolymerization (VP). It explores the spectrum of achievable functionalities in recently reported novel materials—such as conductive, energy‐storing, biodegradable, stimuli‐responsive, self‐healing, shape‐memory, biomaterials, and
Sergey S. Nechausov, Patrick Fesser, Boris A. Bulgakov, Ulrich S. Schubert   +3 more
wiley   +1 more source

Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings

Fixed Point Theory and Applications, 2008
We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a
Satit Saejung, Weerayuth Nilsrakoo
doaj   +2 more sources