Results 91 to 100 of about 581,251 (325)

An oscillation theorem for the nonlinear degenerate elliptic equation in the Heisenberg group

Boundary Value Problems, 2021
The aim of this paper is to study the oscillation of solutions of the nonlinear degenerate elliptic equation in the Heisenberg group H n $H^{n}$ . We first derive a critical inequality in H n $H^{n}$ . Based on it, we establish a Picone-type differential
Duan Wu, Pengcheng Niu
doaj   +1 more source

Nonlinear oblique boundary value problems for nonlinear elliptic equations [PDF]

Transactions of the American Mathematical Society, 1986
We consider the nonlinear oblique derivative boundary value problem for quasilinear and fully nonlinear uniformly elliptic partial differential equations of second order. The elliptic operators satisfy natural structure conditions as introduced by Trudinger in the study of the Dirichlet problem while for the boundary operators we formulate general ...
Lieberman, Gary M., Trudinger, Neil S.
openaire   +2 more sources

Smart Denture with Embedded Thin‐Film Temperature Sensors Patterned by Femtosecond Laser Pulse for Elderly Healthcare

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
We demonstrate the direct‐laser patterning of a gold thin film on polymethyl methacrylate to fabricate a temperature sensor for dentures. The temperature sensor‐embedded smart dentures are evaluated in an oral environment, enabling in‐situ monitoring for elderly healthcare.
Han Ku Nam, Yong Kwon Chae, Seoung‐Jin Hong, Younggen Lee, Dongwook Yang, Byunggi Kim, Sang Wook Kang, Young‐Jin Kim   +7 more
wiley   +1 more source

survey on boundary regularity for the fractional p-Laplacian and its applications

Bruno Pini Mathematical Analysis Seminar
We survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of related Dirichlet problems. Then, we present some applications of such results
Antonio Iannizzotto
doaj   +1 more source

Adaptive Autonomy in Microrobot Motion Control via Deep Reinforcement Learning and Path Planning Synergy

Advanced Intelligent Systems, EarlyView.
This study introduces a data‐driven framework that combines deep reinforcement learning with classical path planning to achieve adaptive microrobot navigation. By training a surrogate neural network to emulate microrobot dynamics, the approach improves learning efficiency, reduces training time, and enables robust real‐time obstacle avoidance in ...
Amar Salehi, Bairong Zhu, Haoyu Liu, Tingting Yu   +3 more
wiley   +1 more source

Entropy‐Guided Convolutional Neural Network Classification of Sensor Signals for Real‐Time Surface Quality Monitoring in Direct Laser Interference Patterning

Advanced Intelligent Systems, EarlyView.
Neural‐network pipeline for real‐time DLIP surface‐quality monitoring: spectral entropy of WLI topographies is used to generate interpretable K‐means labels, which are transferred to time‐resolved photodiode traces. A compact dual‐input 1D‐CNN (signal + laser parameters) learns discriminative spatiotemporal features and predicts “OK/NOK” surface ...
Marcelo Daniel Sallese, Ignacio Tabares, Wei Wang, Marcos Soldera, Andrés Fabián Lasagni   +4 more
wiley   +1 more source

Existence of a weak bounded solution for nonlinear degenerate elliptic equations in Musielak-Orlicz spaces

Moroccan Journal of Pure and Applied Analysis, 2020
In this paper, we show the existence of solutions for the nonlinear elliptic equations of the ...
Bourahma M., Bennouna J., El Moumni M.
doaj   +1 more source

MTCA‐Net: Multi‐Task Cascade Analysis Network for Real‐Time Sperm Quality Analysis

Advanced Intelligent Systems, EarlyView.
This article proposes MTCA‐Net, a multi‐task cascaded analysis network for real‐time sperm quality assessment in intracytoplasmic sperm injection. The framework integrates detection, tracking, and segmentation modules to jointly analyze sperm morphology and motility.
Jiajin Li, Wenwen Sun, Jun He, Xinyu Fan, Xuecheng Ge, Fengya Lu, Yadan Wang, Yi Wang, Zhiguo Zhang, Qibing Wu, Jinhua Zhou   +10 more
wiley   +1 more source

Research on Evaporation Characteristics and Safe Storage Duration of Marine Liquid Hydrogen Storage Tanks Under the Coupling Effect of Heat Leakage and Sloshing

Asia-Pacific Journal of Chemical Engineering, EarlyView.
ABSTRACT Liquid hydrogen, a zero‐carbon and high–energy‐density fuel, is a promising option for future oceangoing vessels. During maritime transportation, onboard cryogenic tanks are exposed to ambient heat leakage and ship‐induced roll motion, which can trigger sloshing and fundamentally modify the coupled thermo‐fluid processes governing boil‐off and
Yan Deng, Wenfeng Wu, Zhenyu Zhao, Rongsheng Lin, Liangyi Sun, Youfei Liu   +5 more
wiley   +1 more source

Metasurfaces and Metadevices for Topological Electromagnetic Waves

Advanced Physics Research, EarlyView.
Optical topologies refer to diverse topological localized structures made by diverse parameters of light fields, such as vortices, skyrmions, and hopfions. This article navigates a direction of metasurface‐based integrated devices for generation, manipulation and detection of novel topologies of light, which would be a rapidly growing interdisciplinary
Rensheng Xie, Nilo Mata‐Cervera, Xi Xie, Yijie Shen   +3 more
wiley   +1 more source