Results 151 to 160 of about 31,308 (311)

Existence of solutions for elliptic systems with critical Sobolev exponent

Electronic Journal of Differential Equations, 2002
We establish conditions for existence and for nonexistence of nontrivial solutions to an elliptic system of partial differential equations. This system is of gradient type and has a nonlinearity with critical growth.
Pablo Amster, Pablo De Napoli, Maria Cristina Mariani   +2 more
doaj  

Exact Critical Exponents for Pseudo-Particles in the Kondo Problem

, 1995
Satoshi Fujimoto, N. Kawakami, Yang, S. -K.   +2 more
openalex   +1 more source

Complex Cryptographic and User‐Centric Physically Unclonable Functions Enabled by Strain‐Sensitive Nanocrystals via Selective Ligand Exchange

Advanced Functional Materials, EarlyView.
This study investigates electromechanical PUFs that improve on traditional electric PUFs. The electron transport materials are coated randomly through selective ligand exchange. It produces multiple keys and a key with motion dependent on percolation and strain, and approaches almost ideal inter‐ and intra‐hamming distances.
Seungshin Lim, Hanseok Seo, Taesung Park, Byung Ku Jung, Junhyeok Park, Young Kyun Choi, Dae Yang Oh, Soong Ju Oh   +7 more
wiley   +1 more source

Electrically Tunable On‐Chip Topological Photonics with Integrated Carbon Nanotubes

Advanced Functional Materials, EarlyView.
This work demonstrates electrically tunable on‐chip topological THz devices by integrating 2D carbon nanotube (CNT) sheets with valley‐Hall photonic crystals, enabling broadband transmission modulation (71% modulation depth) and tunable narrowband filtering (0.54 GHz shift) through electrically induced thermal tuning. This advancement paves the way for
Jifan Yin, Wenhao Wang, Thomas Caiwei Tan, Abhishek Kumar, Ridong Jia, Nikhil Navaratna, Ranjan Singh, Lijuan Xie   +7 more
wiley   +1 more source

Nonhomogeneous elliptic equations with decaying cylindrical potential and critical exponent

Electronic Journal of Differential Equations, 2011
We prove the existence and multiplicity of solutions for a nonhomogeneous elliptic equation involving decaying cylindrical potential and critical exponent.
Mohammed Bouchekif, Mohammed E. O. El Mokhtar   +1 more
doaj  

Phase Change Material‐Driven Tunable Metasurface for Adaptive Terahertz Sensing and Communication in 6G Perceptive Networks

Advanced Functional Materials, EarlyView.
This study explores the benefits of metasurfaces made from functional materials, highlighting their ability to be adapted and improved for various high‐frequency applications, including communications and sensing. It first demonstrates the potential of these functional material‐based metasurfaces to advance the field of sub‐THz perceptive networks ...
Yat‐Sing To, Jiachen Du, Cyril Decroze, Laure Huitema, Aurelian Crunteanu, Hang Wong   +5 more
wiley   +1 more source

A Smart Bio‐Battery Facilitates Diabetic Bone Defect Repair Via Inducing Macrophage Reprogramming and Synergistically Modulating Bone Remodeling Coupling

Advanced Functional Materials, EarlyView.
This research presents a novel implantable bio‐battery, GF‐OsG, tailored for diabetic bone repair. GF‐OsG generates microcurrents in high‐glucose conditions to enhance vascularization, shift macrophages to the M2 phenotype, and regulate immune responses.
Nanning Lv, Haifu Sun, Wenxiang Tang, Yonggang Li, Zhonglai Qian, Lihui Hong, Chong Chen, Hongye Li, Jiaxiang Bai, Yusen Qiao, Mingming Liu   +10 more
wiley   +1 more source

Nonlinear elliptic equations involving critical Sobolev exponent on compact riemannian manifolds in presence of symmetries

, 1999
Zindine Djadli
openalex   +2 more sources

Coupled Ferroelectric–Photoelectrochemical in Water Reduction Over BiFeO3 Thin Film Heterostructure Modulated by Rare‐Earth Doping

Advanced Functional Materials, EarlyView.
Gd‐doped BFO (BGFO) exhibits a ∼2‐order reduction in leakage current owing to its lowest content of oxygen vacancies. This leads to a ∼2.5‐fold increase in remnant polarization. These improvements in BGFO effectively boost charge separation and transportation, resulting in the greatest incident photon‐to‐current efficiency of 12.9 ± 0.73% and a ∼1.5 ...
Ming‐Wei Chu, Narong Chanlek, Cheng‐Sao Chen, Pin‐Yi Chen, Kuei‐Chih Feng, Chi‐Shun Tu, Chang Fu Dee, Wei Sea Chang   +7 more
wiley   +1 more source

Critical exponent for a damped wave system with fractional integral

Electronic Journal of Differential Equations, 2015
We shall present the critical exponent $$ F(p, q,\alpha):=\max\big\{\alpha+\frac{(\alpha+1)(p+1)}{pq-1}, \alpha+\frac{(\alpha+1)(q+1)}{pq-1}\big\}-\frac{1}{2} $$ for the Cauchy problem $$\displaylines{ u_{tt}-u_{xx}+u_t=J_{0|t}^{\alpha}(|v|^{p}),
Mijing Wu, Shengjia Li, Liqing Lu
doaj