Properties of solutions to some weighted p-Laplacian equation [PDF]
In this paper, we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by \[-\text{div}\big(w|\nabla u|^{p-2}\nabla u\big)=f(x,u),\quad w\in \mathcal{A}_p,\] on smooth domain and for varying nonlinearity
Prashanta Garain
doaj +1 more source
Artificial Intelligence Meets Micro/Nanorobotics
Artificial intelligence is transforming micro‐ and nanorobots from externally controlled, task‐specific machines into adaptive, autonomous systems. Machine learning, multimodal perception, digital twins, AI‐guided materials and geometry design enhance propulsion, localization, decision‐making, whichaccelerates clinical and environmental applications ...
Fatma M. Yurtsever +6 more
wiley +1 more source
Computation‐Less, Bias‐Free, and Ultra‐Broadband Photodetector for On‐Chip Edge Extraction
A computation‐less, bias‐free, and ultra‐broadband photodetector directly converts local optical‐intensity gradients into signed photocurrents through a position‐dependent bi‐directional photoresponse. This intrinsic physical sensing mechanism enables single‐pixel edge extraction from the near‐infrared to the long‐wave infrared at room temperature ...
Jintao Fu +8 more
wiley +1 more source
Regularity-based spectral clustering and mapping the Fiedler-carpet
We discuss spectral clustering from a variety of perspectives that include extending techniques to rectangular arrays, considering the problem of discrepancy minimization, and applying the methods to directed graphs. Near-optimal clusters can be obtained
Bolla Marianna +4 more
doaj +1 more source
Discrete 2D Material Programming for 3D Shaping and Morphogenesis‐Inspired 4D Bioprinting
Cell‐compatible discrete 2D material programming enables 2‐to‐3D shape transformation and morphogenesis‐inspired 4D bioprinting. By patterning cell‐supportive microdomains within a responsive hydrogel, the approach programs in‐plane growth to encode target metrics.
Fereshteh Family +3 more
wiley +1 more source
Polarization Holographic 4D Phenotyping Reveals Nanoplastic Induced Dysfunction in Zooplankton
Contaminant‐induced dysfunction in complex aquatic organisms remains difficult to resolve across scales. Polarization Holographic Imaging Microscopy (PHIM) integrates polarization‐sensitive holography with computational volumetric reconstruction for label‐free phenotyping of zooplankton in natural seawater, revealing that nanoplastic stress drives ...
Yuxing Li +8 more
wiley +1 more source
AARS2‐SIRT5‐Driven DLD K445 Lactylation Promotes Cuproptosis Resistance in Glioblastoma Stem Cells
Lactylation of DLD at K445 by AARS2 suppresses PDH complex activity and reduces DLAT lipoylation, thereby conferring cuproptosis resistance in glioblastoma stem cells. SIRT5‐mediated delactylation restores PDH function and enhances cuproptosis sensitivity.
Mingtian Ding +12 more
wiley +1 more source
On singularly weighted generalized Laplacian systems and their applications
We study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be integrable. Some explicit intervals which correspond to the existence and nonexistence of positive solutions for the system
Xu Xianghui, Lee Yong-Hoon
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Adaptively weighted discrete Laplacian for Inverse Rendering
The Laplacian-based precondition method, especially in the inverse rendering of geometry, effectively reduces variances in Stochastic Gradient Descent. This technique improves the stability of the optimization process and produces a more reliable result ...
Hyeonjang An
core
Analytical Prediction of Critical Transitions in Oscillator Networks With Non‐Local Links
An analytical framework reveals how global coupling, second‐harmonic strength, noise, and network structure govern oscillator‐based Ising dynamics. Spectral reduction predicts stability boundaries, while Fokker–Planck analysis captures one‐ to two‐cluster transitions and identifies conditions favoring low‐energy configurations.
Qiang Li +5 more
wiley +1 more source

