Results 91 to 100 of about 24,231 (260)

Nontrivial solutions to the semilinear Kohn-Laplace equation on R^3

Electronic Journal of Differential Equations, 1999
The existence of nontrivial solutions to the semilinear Kohn-Laplace equation $$ -Delta _Hu+V(P)u=f(u)$$ is considered under appropriate assumptions on $V(P)$ and $f(u)$. Results are obtained using a variational method and a compact-embedding lemma.
Stepan Tersian
doaj  

Sulfur‐Free Ultrahigh‐Refractive‐Index Polymers Enabled by Densely Packed Oxygen‐Bridged Dibenzofuran‐Cardo Architectures

Advanced Functional Materials, EarlyView.
A new class of sulfur‐free, oxygen‐bridged dibenzofuran‐based polymers is developed for ultrahigh‐refractive‐index applications. The rigid π‐extended architecture and enhanced molecular polarizability enable exceptional optical performance, combining refractive indices up to 1.848 with high Abbe numbers and full visible transparency. This work offers a
Hend A. Hegazy, Gyeongsoo Kim, Sooyoung Lee, Mohamed R. Elmasry, Youn‐Chul Kim, Changsik Song   +5 more
wiley   +1 more source

Tailored Diketopyrrolopyrrole Derivatives for Efficient Deep‐Red Organic Lasers

Advanced Functional Materials, EarlyView.
Tailored diketopyrrolopyrrole derivatives exhibit high stable amplified spontaneous emission with single or dual bands. Incorporated into distributed‐feedback lasers based on one‐ and two‐dimensional dichromated‐gelatin diffractive gratings, these materials provide a robust, flexible platform for integrated organic deep‐red light sources. ABSTRACT Deep‐
Pablo Pasqués‐Gramage, Abelardo Sánchez‐Oliva, Álex Farrando‐Pérez, Pedro G. Boj, M. Victoria Gómez, Ana M. Rodríguez, Pilar Prieto, Rafael Muñoz‐Mármol, Andrew J. Musser, Iván Torres‐Moya, María A. Díaz‐García   +10 more
wiley   +1 more source

Warped G2 throats from deformed conifolds in IIA supergravity

Physics Letters B
We analyze the IIA supergravity solutions corresponding to a warped product of a 3D external Minkowski space and a 7D internal non-compact space, with the latter being the direct product of a deformed conifold and a circle.
Fotis Farakos
doaj   +1 more source

An Electrowetting Pump

Advanced Functional Materials, EarlyView.
A tubular electrowetting pump moves alternating droplets through a millimeter‐wide channel in discrete, reversible steps, functioning as a fluidic stepper motor. With no moving parts and electrodes insulated from the liquid, it delivers silent, accurate flow. Flexibility allows the pump to be woven directly into textiles for wearable, medical, and soft‐
Robert Hennig, Herbert Shea
wiley   +1 more source

Reconfigurable Au Nanoparticle Monolayers on Regenerated Cellulose Hydrogels: Highly Sensitive SERS Detection of Polystyrene Micro/Nanoplastics With Interpretable Deep Learning

Advanced Functional Materials, EarlyView.
A regenerated cellulose (RC) hydrogel‐based SERS substrate integrating a Marangoni‐transferred gold nanoparticle self‐assembled monolayer (Au‐SAM) is fabricated. Reswelling‐induced hotspot formation enhances polystyrene micro/nanoplastics (PS MNPs) detection in complex matrices, providing reproducible, high‐throughput SERS signals across diverse ...
Youngho Jeon, Yu‐Jin Jeon, Suji Lee, Jeseong Kim, Dae‐Hyun Jung, Jungmok You   +5 more
wiley   +1 more source

Minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces

Complex Manifolds, 2019
An R-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each R-space has the canonical embedding into a Kähler C-space as a real form, and thus a compact embedded ...
Ohnita Yoshihiro
doaj   +1 more source

Wearable Kirigami‐Apertured Capacitive Sensors for Continuous Cardiac Volumetric Monitoring

Advanced Functional Materials, EarlyView.
A wearable kirigami‐apertured carbon nanotube‐paper composite (K‐CPC) capacitive sensor enables cardiac volumetric monitoring. The kirigami process creates a central aperture with cantilevered fibers that confine the electric field, enhancing both sensitivity and lateral resolution.
Yu‐Jen Cheng, Shawn Kim, Jonathan Avery, Younghoon Kwon, Jae‐Hyun Chung   +4 more
wiley   +1 more source

Existence of solutions for quasilinear parabolic equations at resonance

Electronic Journal of Differential Equations, 2013
In this article, we show the existence of nontrivial solutions for a class of quasilinear parabolic differential equations. To obtain the solution in a weighted Sobolev space, we use the Galerkin method, Brouwer's theorem, and a compact Sobolev-type ...
Gao Jia, Xiao-Juan Zhang, Li-Na Huang
doaj  

Growth Spaces on Circular Domains Taking Values in a Banach Lattice, Embeddings and Composition Operators

Mathematics
We introduce the space of holomorphic growth spaces with values in a Banach lattice. We provide norm and essential norm estimates of the embedding operator, and we completely characterize the bounded and compact embeddings of the growth spaces using ...
Nihat Gökhan Göğüş
doaj   +1 more source